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 977/198, 4029/240

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 977/198, 4029/240 i.e 1/7920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 977/198, 4029/240.

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 977/198,4029/240?

Given fractions are 977/198,4029/240

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 977/198,4029/240, numerators are 977,4029

Denominators are 198,240

The GCF of 977,4029 is 1 .

LCM of 198,240 is 7920.

The greatest common factor of 977/198,4029/240 = [GCF of 977,4029]/[LCM of 198,240]= 1/7920

Therefore, the GCF of 977/198,4029/240 is 1/7920.

Greatest Common Factor of 977,4029

To find the highest common factor of 977,4029, we have to find the factors of both numbers and list the highest common factor.

The factors of 977 are 1, 977

The factors of 4029 are 1, 3, 17, 51, 79, 237, 1343, 4029

The HCF of 977,4029 is 1.

Lets's calculate GCF of 977,4029

Greatest Common Factor (GCF) of 977,4029 By Common Division

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

Greatest Common Factor of 977,4029 By Matching Biggest Common Factor Method

Greatest Common Factor of 977,4029 By Matching Biggest Common Factor Method

Now, list down the factors of 977

:

1,977

Now, list down the factors of 4029

:

1,3,17,51,79,237,1343,4029

Greatest Common Factor

We found the factors 977,4029 . The biggest common factor number is the GCF number.
So the greatest common factor 977,4029 is 1.

Lets's calculate LCM of 198,240

Lowest Common Multiple of 198,240 using Common Division

2 198, 240
3 99, 120
33, 40

∴ So the LCM of the given numbers is 2 x 3 x 33 x 40 = 7920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7920

Therefore, the GCF of Fractions 977/198,4029/240 is 1/7920

Least Common Multiple of 198,240 with GCF Formula

Least Common Multiple of 198,240 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 198,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,240) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(198,240) x common factors =6 x 1 = 6

LCM(198,240) = ( 198 × 240 ) / 6

LCM(198,240) = 47520 / 6

LCM(198,240) = 7920


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 977/198, 4029/240

1. What is the HCF of 977,4029?

The HCF of 977,4029 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 977/198, 4029/240?

Answer: GCF of Numerators as per given numbers 977/198, 4029/240 is

GCF of Numerators i.e. for 977,4029 is 1

LCM of denominators i.e. for 198,240 is 7920.

Thus, GCF of Fractions is 1/7920.Finally, GCF of Fractions for 977/198, 4029/240 is 1/7920.