How to Find GCF of 902/973, 831/726?

GCF of 902/973, 831/726

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 902/973, 831/726 i.e 1/706398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 902/973, 831/726.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 902/973,831/726?

Given fractions are 902/973,831/726

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 902/973,831/726, numerators are 902,831

Denominators are 973,726

The GCF of 902,831 is 1 .

LCM of 973,726 is 706398.

The greatest common factor of 902/973,831/726 = [GCF of 902,831]/[LCM of 973,726]= 1/706398

Therefore, the GCF of 902/973,831/726 is 1/706398.

Greatest Common Factor of 902,831

To find the highest common factor of 902,831, 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 831 are 1, 3, 277, 831

The HCF of 902,831 is 1.

Lets's calculate GCF of 902,831

Greatest Common Factor (GCF) of 902,831 By Common Division

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

Greatest Common Factor of 902,831 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 831

1,3,277,831

Greatest Common Factor

We found the factors 902,831 . The biggest common factor number is the GCF number.
So the greatest common factor 902,831 is 1.

Lets's calculate LCM of 973,726

Lowest Common Multiple of 973,726 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 706398

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/706398

Therefore, the GCF of Fractions 902/973,831/726 is 1/706398

Least Common Multiple of 973,726 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 973,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,726) = 1

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

GCF(973,726) x common factors =1 x 1 = 1

LCM(973,726) = ( 973 × 726 ) / 1

LCM(973,726) = 706398 / 1

LCM(973,726) = 706398

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FAQs on GCF of Fractions of 902/973, 831/726

1. What is the HCF of 902,831?

The HCF of 902,831 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 902/973, 831/726?

Answer: GCF of Numerators as per given numbers 902/973, 831/726 is

GCF of Numerators i.e. for 902,831 is 1

LCM of denominators i.e. for 973,726 is 706398.

Thus, GCF of Fractions is 1/706398.Finally, GCF of Fractions for 902/973, 831/726 is 1/706398.