Greatest Common Factor of 986/571, 690/581, 902/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 986/571, 690/581, 902/925

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 986/571,690/581,902/925

Given fractions are 986/571,690/581,902/925

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 986,690,902

Greatest Common Factor of Numerators i.e. GCF of 986,690,902 is 2 .

LCM of Denominators means LCM of 571,581,925 as per the given fractions.

LCM of 571,581,925 is 306869675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 986,690,902

GCF of Fractions 986/571,690/581,902/925 is 2/306869675

2 986, 690, 902
493, 345, 451

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

Greatest Common Factor of 986,690,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,690,902 By Matching Biggest Common Factor Method

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

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

Greatest Common Factor

We found the factors 986,690,902 . The biggest common factor number is the GCF number.
So the greatest common factor 986,690,902 is 2.

Lets's calculate LCM of 571,581,925

Given numbers has no common factors except 1. So, there LCM is their product i.e 306869675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/306869675

Therefore, the GCF of Fractions 986/571,690/581,902/925 is 2/306869675

Least Common Multiple of 571,581,925 with GCF Formula

Least Common Multiple of 571,581,925 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 571,581,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,581,925) = 1

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

GCF(571,581,925) x common factors =1 x 1 = 1

LCM(571,581,925) = ( 571 × 581 × 925 ) / 1

LCM(571,581,925) = 306869675 / 1

LCM(571,581,925) = 306869675


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 986/571, 690/581, 902/925

1. 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.

2. What is the GCF of Fractions for 986/571, 690/581, 902/925?

Answer: GCF of Numerators as per given numbers 986/571, 690/581, 902/925 is

GCF of Numerators i.e. for 986,690,902 is 2

LCM of denominators i.e. for 571,581,925 is 306869675.

Thus, GCF of Fractions is 2/306869675.Finally, GCF of Fractions for 986/571, 690/581, 902/925 is 2/306869675.