Greatest Common Factor of 5711/925, 5098/6559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5711/925, 5098/6559

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 5711/925,5098/6559

Given fractions are 5711/925,5098/6559

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 5711,5098

Greatest Common Factor of Numerators i.e. GCF of 5711,5098 is 1 .

LCM of Denominators means LCM of 925,6559 as per the given fractions.

LCM of 925,6559 is 6067075 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5711,5098

GCF of Fractions 5711/925,5098/6559 is 1/6067075

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

Greatest Common Factor of 5711,5098 By Matching Biggest Common Factor Method

Greatest Common Factor of 5711,5098 By Matching Biggest Common Factor Method

Factors of 5711

List of positive integer factors of 5711 that divides 5711 without a remainder.

1,5711

Factors of 5098

List of positive integer factors of 5098 that divides 5098 without a remainder.

1,2,2549,5098

Greatest Common Factor

We found the factors 5711,5098 . The biggest common factor number is the GCF number.
So the greatest common factor 5711,5098 is 1.

Lets's calculate LCM of 925,6559

Given numbers has no common factors except 1. So, there LCM is their product i.e 6067075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6067075

Therefore, the GCF of Fractions 5711/925,5098/6559 is 1/6067075

Least Common Multiple of 925,6559 with GCF Formula

Least Common Multiple of 925,6559 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 925,6559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,6559) = 1

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

GCF(925,6559) x common factors =1 x 1 = 1

LCM(925,6559) = ( 925 × 6559 ) / 1

LCM(925,6559) = 6067075 / 1

LCM(925,6559) = 6067075


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 5711/925, 5098/6559

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 5711/925, 5098/6559?

Answer: GCF of Numerators as per given numbers 5711/925, 5098/6559 is

GCF of Numerators i.e. for 5711,5098 is 1

LCM of denominators i.e. for 925,6559 is 6067075.

Thus, GCF of Fractions is 1/6067075.Finally, GCF of Fractions for 5711/925, 5098/6559 is 1/6067075.