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GCF of 956/42, 976/758

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 956/42, 976/758 i.e 4/15918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 956/42, 976/758.

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 956/42,976/758?

Given fractions are 956/42,976/758

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 956/42,976/758, numerators are 956,976

Denominators are 42,758

The GCF of 956,976 is 4 .

LCM of 42,758 is 15918.

The greatest common factor of 956/42,976/758 = [GCF of 956,976]/[LCM of 42,758]= 4/15918

Therefore, the GCF of 956/42,976/758 is 4/15918.

Greatest Common Factor of 956,976

To find the highest common factor of 956,976, we have to find the factors of both numbers and list the highest common factor.

The factors of 956 are 1, 2, 4, 239, 478, 956

The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

The HCF of 956,976 is 4.

Lets's calculate GCF of 956,976

Greatest Common Factor (GCF) of 956,976 By Common Division

2 956, 976
2 478, 488
239, 244

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 956,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,976 By Matching Biggest Common Factor Method

Now, list down the factors of 956

:

1,2,4,239,478,956

Now, list down the factors of 976

:

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 956,976 . The biggest common factor number is the GCF number.
So the greatest common factor 956,976 is 4.

Lets's calculate LCM of 42,758

Lowest Common Multiple of 42,758 using Common Division

2 42, 758
21, 379

∴ So the LCM of the given numbers is 2 x 21 x 379 = 15918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/15918

Therefore, the GCF of Fractions 956/42,976/758 is 4/15918

Least Common Multiple of 42,758 with GCF Formula

Least Common Multiple of 42,758 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 42,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,758) = 2

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

GCF(42,758) x common factors =2 x 1 = 2

LCM(42,758) = ( 42 × 758 ) / 2

LCM(42,758) = 31836 / 2

LCM(42,758) = 15918


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FAQs on GCF of Fractions of 956/42, 976/758

1. What is the HCF of 956,976?

The HCF of 956,976 is 4

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 956/42, 976/758?

Answer: GCF of Numerators as per given numbers 956/42, 976/758 is

GCF of Numerators i.e. for 956,976 is 4

LCM of denominators i.e. for 42,758 is 15918.

Thus, GCF of Fractions is 4/15918.Finally, GCF of Fractions for 956/42, 976/758 is 4/15918.