LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 2/28, 40/46, 18/991, 535/970

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 2/28, 40/46, 18/991, 535/970 i.e 1/309528940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2/28, 40/46, 18/991, 535/970.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2/28,40/46,18/991,535/970?

Given fractions are 2/28,40/46,18/991,535/970

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2/28,40/46,18/991,535/970, numerators are 2,40,18,535

Denominators are 28,46,991,970

The GCF of 2,40,18,535 is 1 .

LCM of 28,46,991,970 is 309528940.

The greatest common factor of 2/28,40/46,18/991,535/970 = [GCF of 2,40,18,535]/[LCM of 28,46,991,970]= 1/309528940

Therefore, the GCF of 2/28,40/46,18/991,535/970 is 1/309528940.

Greatest Common Factor of 2,40,18,535

To find the highest common factor of 2,40,18,535, we have to find the factors of both numbers and list the highest common factor.

The factors of 2 are 1, 2

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 18 are 1, 2, 3, 6, 9, 18

The factors of 535 are 1, 5, 107, 535

The HCF of 2,40,18,535 is 1.

Lets's calculate GCF of 2,40,18,535

Greatest Common Factor (GCF) of 2,40,18,535 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2,40,18,535 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,40,18,535 By Matching Biggest Common Factor Method

Now, list down the factors of 2

:

1,2

Now, list down the factors of 40

:

1,2,4,5,8,10,20,40

Now, list down the factors of 18

:

1,2,3,6,9,18

Now, list down the factors of 535

:

1,5,107,535

Greatest Common Factor

We found the factors 2,40,18,535 . The biggest common factor number is the GCF number.
So the greatest common factor 2,40,18,535 is 1.


Lets's calculate LCM of 28,46,991,970

Lowest Common Multiple of 28,46,991,970 using Common Division

2 28, 46, 991, 970
14, 23, 991, 485

∴ So the LCM of the given numbers is 2 x 14 x 23 x 991 x 485 = 309528940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/309528940

Therefore, the GCF of Fractions 2/28,40/46,18/991,535/970 is 1/309528940

Least Common Multiple of 28,46,991,970 with GCF Formula

Least Common Multiple of 28,46,991,970 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 28,46,991,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,46,991,970) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(28,46,991,970) x common factors =1 x 4 = 4

LCM(28,46,991,970) = ( 28 × 46 × 991 × 970 ) / 4

LCM(28,46,991,970) = 1238115760 / 4

LCM(28,46,991,970) = 309528940


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2/28, 40/46, 18/991, 535/970

1. What is the HCF of 2,40,18,535?

The HCF of 2,40,18,535 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 2/28, 40/46, 18/991, 535/970?

Answer: GCF of Numerators as per given numbers 2/28, 40/46, 18/991, 535/970 is

GCF of Numerators i.e. for 2,40,18,535 is 1

LCM of denominators i.e. for 28,46,991,970 is 309528940.

Thus, GCF of Fractions is 1/309528940.Finally, GCF of Fractions for 2/28, 40/46, 18/991, 535/970 is 1/309528940.