Greatest Common Factor of 5609/919, 6920/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5609/919, 6920/258

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 5609/919,6920/258

Given fractions are 5609/919,6920/258

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 5609,6920

Greatest Common Factor of Numerators i.e. GCF of 5609,6920 is 1 .

LCM of Denominators means LCM of 919,258 as per the given fractions.

LCM of 919,258 is 237102 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5609,6920

GCF of Fractions 5609/919,6920/258 is 1/237102

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

Greatest Common Factor of 5609,6920 By Matching Biggest Common Factor Method

Greatest Common Factor of 5609,6920 By Matching Biggest Common Factor Method

Factors of 5609

List of positive integer factors of 5609 that divides 5609 without a remainder.

1,71,79,5609

Factors of 6920

List of positive integer factors of 6920 that divides 6920 without a remainder.

1,2,4,5,8,10,20,40,173,346,692,865,1384,1730,3460,6920

Greatest Common Factor

We found the factors 5609,6920 . The biggest common factor number is the GCF number.
So the greatest common factor 5609,6920 is 1.

Lets's calculate LCM of 919,258

Given numbers has no common factors except 1. So, there LCM is their product i.e 237102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237102

Therefore, the GCF of Fractions 5609/919,6920/258 is 1/237102

Least Common Multiple of 919,258 with GCF Formula

Least Common Multiple of 919,258 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 919,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(919,258) = 1

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

GCF(919,258) x common factors =1 x 1 = 1

LCM(919,258) = ( 919 × 258 ) / 1

LCM(919,258) = 237102 / 1

LCM(919,258) = 237102


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 5609/919, 6920/258

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 5609/919, 6920/258?

Answer: GCF of Numerators as per given numbers 5609/919, 6920/258 is

GCF of Numerators i.e. for 5609,6920 is 1

LCM of denominators i.e. for 919,258 is 237102.

Thus, GCF of Fractions is 1/237102.Finally, GCF of Fractions for 5609/919, 6920/258 is 1/237102.