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GCF of 876/964, 908/749

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 876/964, 908/749 i.e 4/722036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 876/964, 908/749.

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 876/964,908/749?

Given fractions are 876/964,908/749

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 876/964,908/749, numerators are 876,908

Denominators are 964,749

The GCF of 876,908 is 4 .

LCM of 964,749 is 722036.

The greatest common factor of 876/964,908/749 = [GCF of 876,908]/[LCM of 964,749]= 4/722036

Therefore, the GCF of 876/964,908/749 is 4/722036.

Greatest Common Factor of 876,908

To find the highest common factor of 876,908, we have to find the factors of both numbers and list the highest common factor.

The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

The factors of 908 are 1, 2, 4, 227, 454, 908

The HCF of 876,908 is 4.

Lets's calculate GCF of 876,908

Greatest Common Factor (GCF) of 876,908 By Common Division

2 876, 908
2 438, 454
219, 227

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

Greatest Common Factor of 876,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,908 By Matching Biggest Common Factor Method

Now, list down the factors of 876

:

1,2,3,4,6,12,73,146,219,292,438,876

Now, list down the factors of 908

:

1,2,4,227,454,908

Greatest Common Factor

We found the factors 876,908 . The biggest common factor number is the GCF number.
So the greatest common factor 876,908 is 4.

Lets's calculate LCM of 964,749

Lowest Common Multiple of 964,749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 722036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/722036

Therefore, the GCF of Fractions 876/964,908/749 is 4/722036

Least Common Multiple of 964,749 with GCF Formula

Least Common Multiple of 964,749 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 964,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,749) = 1

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

GCF(964,749) x common factors =1 x 1 = 1

LCM(964,749) = ( 964 × 749 ) / 1

LCM(964,749) = 722036 / 1

LCM(964,749) = 722036


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FAQs on GCF of Fractions of 876/964, 908/749

1. What is the HCF of 876,908?

The HCF of 876,908 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 876/964, 908/749?

Answer: GCF of Numerators as per given numbers 876/964, 908/749 is

GCF of Numerators i.e. for 876,908 is 4

LCM of denominators i.e. for 964,749 is 722036.

Thus, GCF of Fractions is 4/722036.Finally, GCF of Fractions for 876/964, 908/749 is 4/722036.