How to Find GCF of 36/752, 31/400, 137/601?

GCF of 36/752, 31/400, 137/601

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 36/752, 31/400, 137/601 i.e 1/11298800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/752, 31/400, 137/601.

Enter two or more fractions separated by "commas"

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

What is the GCF of 36/752,31/400,137/601?

Given fractions are 36/752,31/400,137/601

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 36/752,31/400,137/601, numerators are 36,31,137

Denominators are 752,400,601

The GCF of 36,31,137 is 1 .

LCM of 752,400,601 is 11298800.

The greatest common factor of 36/752,31/400,137/601 = [GCF of 36,31,137]/[LCM of 752,400,601]= 1/11298800

Therefore, the GCF of 36/752,31/400,137/601 is 1/11298800.

Greatest Common Factor of 36,31,137

To find the highest common factor of 36,31,137, 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 31 are 1, 31

The factors of 137 are 1, 137

The HCF of 36,31,137 is 1.

Lets's calculate GCF of 36,31,137

Greatest Common Factor (GCF) of 36,31,137 By Common Division

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

Greatest Common Factor of 36,31,137 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 31

1,31

Now, list down the factors of 137

1,137

Greatest Common Factor

We found the factors 36,31,137 . The biggest common factor number is the GCF number.
So the greatest common factor 36,31,137 is 1.

Lets's calculate LCM of 752,400,601

Lowest Common Multiple of 752,400,601 using Common Division

2	752, 400, 601
2	376, 200, 601
2	188, 100, 601
2	94, 50, 601
	47, 25, 601

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 47 x 25 x 601 = 11298800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11298800

Therefore, the GCF of Fractions 36/752,31/400,137/601 is 1/11298800

Least Common Multiple of 752,400,601 with GCF Formula

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

We need to calculate greatest common factor of 752,400,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,400,601) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(752,400,601) x common factors =1 x 16 = 16

LCM(752,400,601) = ( 752 × 400 × 601 ) / 16

LCM(752,400,601) = 180780800 / 16

LCM(752,400,601) = 11298800

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 36/752, 31/400, 137/601

1. What is the HCF of 36,31,137?

The HCF of 36,31,137 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 36/752, 31/400, 137/601?

Answer: GCF of Numerators as per given numbers 36/752, 31/400, 137/601 is

GCF of Numerators i.e. for 36,31,137 is 1

LCM of denominators i.e. for 752,400,601 is 11298800.

Thus, GCF of Fractions is 1/11298800.Finally, GCF of Fractions for 36/752, 31/400, 137/601 is 1/11298800.