Greatest Common Factor of 59/695, 8996/2574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/695, 8996/2574

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 59/695,8996/2574

Given fractions are 59/695,8996/2574

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 59,8996

Greatest Common Factor of Numerators i.e. GCF of 59,8996 is 1 .

LCM of Denominators means LCM of 695,2574 as per the given fractions.

LCM of 695,2574 is 1788930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,8996

GCF of Fractions 59/695,8996/2574 is 1/1788930

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

Greatest Common Factor of 59,8996 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,8996 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 8996

List of positive integer factors of 8996 that divides 8996 without a remainder.

1,2,4,13,26,52,173,346,692,2249,4498,8996

Greatest Common Factor

We found the factors 59,8996 . The biggest common factor number is the GCF number.
So the greatest common factor 59,8996 is 1.

Lets's calculate LCM of 695,2574

Given numbers has no common factors except 1. So, there LCM is their product i.e 1788930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1788930

Therefore, the GCF of Fractions 59/695,8996/2574 is 1/1788930

Least Common Multiple of 695,2574 with GCF Formula

Least Common Multiple of 695,2574 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 695,2574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,2574) = 1

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

GCF(695,2574) x common factors =1 x 1 = 1

LCM(695,2574) = ( 695 × 2574 ) / 1

LCM(695,2574) = 1788930 / 1

LCM(695,2574) = 1788930


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 59/695, 8996/2574

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 59/695, 8996/2574?

Answer: GCF of Numerators as per given numbers 59/695, 8996/2574 is

GCF of Numerators i.e. for 59,8996 is 1

LCM of denominators i.e. for 695,2574 is 1788930.

Thus, GCF of Fractions is 1/1788930.Finally, GCF of Fractions for 59/695, 8996/2574 is 1/1788930.