Greatest Common Factor of 2609/536, 4907/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2609/536, 4907/703

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 2609/536,4907/703

Given fractions are 2609/536,4907/703

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 2609,4907

Greatest Common Factor of Numerators i.e. GCF of 2609,4907 is 1 .

LCM of Denominators means LCM of 536,703 as per the given fractions.

LCM of 536,703 is 376808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2609,4907

GCF of Fractions 2609/536,4907/703 is 1/376808

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

Greatest Common Factor of 2609,4907 By Matching Biggest Common Factor Method

Greatest Common Factor of 2609,4907 By Matching Biggest Common Factor Method

Factors of 2609

List of positive integer factors of 2609 that divides 2609 without a remainder.

1,2609

Factors of 4907

List of positive integer factors of 4907 that divides 4907 without a remainder.

1,7,701,4907

Greatest Common Factor

We found the factors 2609,4907 . The biggest common factor number is the GCF number.
So the greatest common factor 2609,4907 is 1.

Lets's calculate LCM of 536,703

Given numbers has no common factors except 1. So, there LCM is their product i.e 376808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/376808

Therefore, the GCF of Fractions 2609/536,4907/703 is 1/376808

Least Common Multiple of 536,703 with GCF Formula

Least Common Multiple of 536,703 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 536,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,703) = 1

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

GCF(536,703) x common factors =1 x 1 = 1

LCM(536,703) = ( 536 × 703 ) / 1

LCM(536,703) = 376808 / 1

LCM(536,703) = 376808


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 2609/536, 4907/703

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 2609/536, 4907/703?

Answer: GCF of Numerators as per given numbers 2609/536, 4907/703 is

GCF of Numerators i.e. for 2609,4907 is 1

LCM of denominators i.e. for 536,703 is 376808.

Thus, GCF of Fractions is 1/376808.Finally, GCF of Fractions for 2609/536, 4907/703 is 1/376808.