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GCF of 631/237, 6251/151

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 631/237, 6251/151 i.e 1/35787 easily. The following is the detailed procedure to determine the greatest common factor of fractions 631/237, 6251/151.

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 631/237,6251/151?

Given fractions are 631/237,6251/151

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 631/237,6251/151, numerators are 631,6251

Denominators are 237,151

The GCF of 631,6251 is 1 .

LCM of 237,151 is 35787.

The greatest common factor of 631/237,6251/151 = [GCF of 631,6251]/[LCM of 237,151]= 1/35787

Therefore, the GCF of 631/237,6251/151 is 1/35787.

Greatest Common Factor of 631,6251

To find the highest common factor of 631,6251, we have to find the factors of both numbers and list the highest common factor.

The factors of 631 are 1, 631

The factors of 6251 are 1, 7, 19, 47, 133, 329, 893, 6251

The HCF of 631,6251 is 1.

Lets's calculate GCF of 631,6251

Greatest Common Factor (GCF) of 631,6251 By Common Division

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

Greatest Common Factor of 631,6251 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,6251 By Matching Biggest Common Factor Method

Now, list down the factors of 631

:

1,631

Now, list down the factors of 6251

:

1,7,19,47,133,329,893,6251

Greatest Common Factor

We found the factors 631,6251 . The biggest common factor number is the GCF number.
So the greatest common factor 631,6251 is 1.

Lets's calculate LCM of 237,151

Lowest Common Multiple of 237,151 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 35787

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35787

Therefore, the GCF of Fractions 631/237,6251/151 is 1/35787

Least Common Multiple of 237,151 with GCF Formula

Least Common Multiple of 237,151 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 237,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,151) = 1

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

GCF(237,151) x common factors =1 x 1 = 1

LCM(237,151) = ( 237 × 151 ) / 1

LCM(237,151) = 35787 / 1

LCM(237,151) = 35787


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FAQs on GCF of Fractions of 631/237, 6251/151

1. What is the HCF of 631,6251?

The HCF of 631,6251 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 631/237, 6251/151?

Answer: GCF of Numerators as per given numbers 631/237, 6251/151 is

GCF of Numerators i.e. for 631,6251 is 1

LCM of denominators i.e. for 237,151 is 35787.

Thus, GCF of Fractions is 1/35787.Finally, GCF of Fractions for 631/237, 6251/151 is 1/35787.