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GCF of 902/766, 971/312

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 902/766, 971/312 i.e 1/119496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 902/766, 971/312.

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 902/766,971/312?

Given fractions are 902/766,971/312

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 902/766,971/312, numerators are 902,971

Denominators are 766,312

The GCF of 902,971 is 1 .

LCM of 766,312 is 119496.

The greatest common factor of 902/766,971/312 = [GCF of 902,971]/[LCM of 766,312]= 1/119496

Therefore, the GCF of 902/766,971/312 is 1/119496.

Greatest Common Factor of 902,971

To find the highest common factor of 902,971, we have to find the factors of both numbers and list the highest common factor.

The factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902

The factors of 971 are 1, 971

The HCF of 902,971 is 1.

Lets's calculate GCF of 902,971

Greatest Common Factor (GCF) of 902,971 By Common Division

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

Greatest Common Factor of 902,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,971 By Matching Biggest Common Factor Method

Now, list down the factors of 902

:

1,2,11,22,41,82,451,902

Now, list down the factors of 971

:

1,971

Greatest Common Factor

We found the factors 902,971 . The biggest common factor number is the GCF number.
So the greatest common factor 902,971 is 1.

Lets's calculate LCM of 766,312

Lowest Common Multiple of 766,312 using Common Division

2 766, 312
383, 156

∴ So the LCM of the given numbers is 2 x 383 x 156 = 119496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119496

Therefore, the GCF of Fractions 902/766,971/312 is 1/119496

Least Common Multiple of 766,312 with GCF Formula

Least Common Multiple of 766,312 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 766,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,312) = 2

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

GCF(766,312) x common factors =2 x 1 = 2

LCM(766,312) = ( 766 × 312 ) / 2

LCM(766,312) = 238992 / 2

LCM(766,312) = 119496


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FAQs on GCF of Fractions of 902/766, 971/312

1. What is the HCF of 902,971?

The HCF of 902,971 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 902/766, 971/312?

Answer: GCF of Numerators as per given numbers 902/766, 971/312 is

GCF of Numerators i.e. for 902,971 is 1

LCM of denominators i.e. for 766,312 is 119496.

Thus, GCF of Fractions is 1/119496.Finally, GCF of Fractions for 902/766, 971/312 is 1/119496.