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GCF of 961/399, 631/774

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 961/399, 631/774 i.e 1/102942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 961/399, 631/774.

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 961/399,631/774?

Given fractions are 961/399,631/774

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 961/399,631/774, numerators are 961,631

Denominators are 399,774

The GCF of 961,631 is 1 .

LCM of 399,774 is 102942.

The greatest common factor of 961/399,631/774 = [GCF of 961,631]/[LCM of 399,774]= 1/102942

Therefore, the GCF of 961/399,631/774 is 1/102942.

Greatest Common Factor of 961,631

To find the highest common factor of 961,631, we have to find the factors of both numbers and list the highest common factor.

The factors of 961 are 1, 31, 961

The factors of 631 are 1, 631

The HCF of 961,631 is 1.

Lets's calculate GCF of 961,631

Greatest Common Factor (GCF) of 961,631 By Common Division

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

Greatest Common Factor of 961,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,631 By Matching Biggest Common Factor Method

Now, list down the factors of 961

:

1,31,961

Now, list down the factors of 631

:

1,631

Greatest Common Factor

We found the factors 961,631 . The biggest common factor number is the GCF number.
So the greatest common factor 961,631 is 1.

Lets's calculate LCM of 399,774

Lowest Common Multiple of 399,774 using Common Division

3 399, 774
133, 258

∴ So the LCM of the given numbers is 3 x 133 x 258 = 102942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102942

Therefore, the GCF of Fractions 961/399,631/774 is 1/102942

Least Common Multiple of 399,774 with GCF Formula

Least Common Multiple of 399,774 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 399,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,774) = 3

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

GCF(399,774) x common factors =3 x 1 = 3

LCM(399,774) = ( 399 × 774 ) / 3

LCM(399,774) = 308826 / 3

LCM(399,774) = 102942


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FAQs on GCF of Fractions of 961/399, 631/774

1. What is the HCF of 961,631?

The HCF of 961,631 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 961/399, 631/774?

Answer: GCF of Numerators as per given numbers 961/399, 631/774 is

GCF of Numerators i.e. for 961,631 is 1

LCM of denominators i.e. for 399,774 is 102942.

Thus, GCF of Fractions is 1/102942.Finally, GCF of Fractions for 961/399, 631/774 is 1/102942.