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GCF of 902/75, 839/8759

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 902/75, 839/8759 i.e 1/656925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 902/75, 839/8759.

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 902/75,839/8759?

Given fractions are 902/75,839/8759

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 902/75,839/8759, numerators are 902,839

Denominators are 75,8759

The GCF of 902,839 is 1 .

LCM of 75,8759 is 656925.

The greatest common factor of 902/75,839/8759 = [GCF of 902,839]/[LCM of 75,8759]= 1/656925

Therefore, the GCF of 902/75,839/8759 is 1/656925.

Greatest Common Factor of 902,839

To find the highest common factor of 902,839, 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 839 are 1, 839

The HCF of 902,839 is 1.

Lets's calculate GCF of 902,839

Greatest Common Factor (GCF) of 902,839 By Common Division

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

Greatest Common Factor of 902,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,839 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 839

:

1,839

Greatest Common Factor

We found the factors 902,839 . The biggest common factor number is the GCF number.
So the greatest common factor 902,839 is 1.

Lets's calculate LCM of 75,8759

Lowest Common Multiple of 75,8759 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 656925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/656925

Therefore, the GCF of Fractions 902/75,839/8759 is 1/656925

Least Common Multiple of 75,8759 with GCF Formula

Least Common Multiple of 75,8759 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 75,8759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,8759) = 1

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

GCF(75,8759) x common factors =1 x 1 = 1

LCM(75,8759) = ( 75 × 8759 ) / 1

LCM(75,8759) = 656925 / 1

LCM(75,8759) = 656925


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FAQs on GCF of Fractions of 902/75, 839/8759

1. What is the HCF of 902,839?

The HCF of 902,839 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 902/75, 839/8759?

Answer: GCF of Numerators as per given numbers 902/75, 839/8759 is

GCF of Numerators i.e. for 902,839 is 1

LCM of denominators i.e. for 75,8759 is 656925.

Thus, GCF of Fractions is 1/656925.Finally, GCF of Fractions for 902/75, 839/8759 is 1/656925.