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GCF of 36/90, 482/81, 400/718

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 36/90, 482/81, 400/718 i.e 2/290790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/90, 482/81, 400/718.

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 36/90,482/81,400/718?

Given fractions are 36/90,482/81,400/718

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 36/90,482/81,400/718, numerators are 36,482,400

Denominators are 90,81,718

The GCF of 36,482,400 is 2 .

LCM of 90,81,718 is 290790.

The greatest common factor of 36/90,482/81,400/718 = [GCF of 36,482,400]/[LCM of 90,81,718]= 2/290790

Therefore, the GCF of 36/90,482/81,400/718 is 2/290790.

Greatest Common Factor of 36,482,400

To find the highest common factor of 36,482,400, we have to find the factors of both numbers and list the highest common factor.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 482 are 1, 2, 241, 482

The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

The HCF of 36,482,400 is 2.

Lets's calculate GCF of 36,482,400

Greatest Common Factor (GCF) of 36,482,400 By Common Division

2 36, 482, 400
18, 241, 200

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 36,482,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,482,400 By Matching Biggest Common Factor Method

Now, list down the factors of 36

:

1,2,3,4,6,9,12,18,36

Now, list down the factors of 482

:

1,2,241,482

Now, list down the factors of 400

:

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 36,482,400 . The biggest common factor number is the GCF number.
So the greatest common factor 36,482,400 is 2.


Lets's calculate LCM of 90,81,718

Lowest Common Multiple of 90,81,718 using Common Division

2 90, 81, 718
3 45, 81, 359
3 15, 27, 359
5, 9, 359

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 9 x 359 = 290790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/290790

Therefore, the GCF of Fractions 36/90,482/81,400/718 is 2/290790

Least Common Multiple of 90,81,718 with GCF Formula

Least Common Multiple of 90,81,718 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 90,81,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,81,718) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(90,81,718) x common factors =1 x 18 = 18

LCM(90,81,718) = ( 90 × 81 × 718 ) / 18

LCM(90,81,718) = 5234220 / 18

LCM(90,81,718) = 290790


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 36/90, 482/81, 400/718

1. What is the HCF of 36,482,400?

The HCF of 36,482,400 is 2

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 36/90, 482/81, 400/718?

Answer: GCF of Numerators as per given numbers 36/90, 482/81, 400/718 is

GCF of Numerators i.e. for 36,482,400 is 2

LCM of denominators i.e. for 90,81,718 is 290790.

Thus, GCF of Fractions is 2/290790.Finally, GCF of Fractions for 36/90, 482/81, 400/718 is 2/290790.