Greatest Common Factor of 847/746, 869/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 847/746, 869/925

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 847/746,869/925

Given fractions are 847/746,869/925

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 847,869

Greatest Common Factor of Numerators i.e. GCF of 847,869 is 11 .

LCM of Denominators means LCM of 746,925 as per the given fractions.

LCM of 746,925 is 690050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 847,869

GCF of Fractions 847/746,869/925 is 11/690050

11 847, 869
77, 79

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 847,869 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,869 By Matching Biggest Common Factor Method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Greatest Common Factor

We found the factors 847,869 . The biggest common factor number is the GCF number.
So the greatest common factor 847,869 is 11.

Lets's calculate LCM of 746,925

Given numbers has no common factors except 1. So, there LCM is their product i.e 690050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/690050

Therefore, the GCF of Fractions 847/746,869/925 is 11/690050

Least Common Multiple of 746,925 with GCF Formula

Least Common Multiple of 746,925 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 746,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,925) = 1

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

GCF(746,925) x common factors =1 x 1 = 1

LCM(746,925) = ( 746 × 925 ) / 1

LCM(746,925) = 690050 / 1

LCM(746,925) = 690050


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 847/746, 869/925

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 847/746, 869/925?

Answer: GCF of Numerators as per given numbers 847/746, 869/925 is

GCF of Numerators i.e. for 847,869 is 11

LCM of denominators i.e. for 746,925 is 690050.

Thus, GCF of Fractions is 11/690050.Finally, GCF of Fractions for 847/746, 869/925 is 11/690050.