Greatest Common Factor of 696/527, 275/292, 598/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 696/527, 275/292, 598/159

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 696/527,275/292,598/159

Given fractions are 696/527,275/292,598/159

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 696,275,598

Greatest Common Factor of Numerators i.e. GCF of 696,275,598 is 1 .

LCM of Denominators means LCM of 527,292,159 as per the given fractions.

LCM of 527,292,159 is 24467556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 696,275,598

GCF of Fractions 696/527,275/292,598/159 is 1/24467556

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

Greatest Common Factor of 696,275,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,275,598 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 696,275,598 . The biggest common factor number is the GCF number.
So the greatest common factor 696,275,598 is 1.

Lets's calculate LCM of 527,292,159

Given numbers has no common factors except 1. So, there LCM is their product i.e 24467556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24467556

Therefore, the GCF of Fractions 696/527,275/292,598/159 is 1/24467556

Least Common Multiple of 527,292,159 with GCF Formula

Least Common Multiple of 527,292,159 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 527,292,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,292,159) = 1

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

GCF(527,292,159) x common factors =1 x 1 = 1

LCM(527,292,159) = ( 527 × 292 × 159 ) / 1

LCM(527,292,159) = 24467556 / 1

LCM(527,292,159) = 24467556


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 696/527, 275/292, 598/159

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 696/527, 275/292, 598/159?

Answer: GCF of Numerators as per given numbers 696/527, 275/292, 598/159 is

GCF of Numerators i.e. for 696,275,598 is 1

LCM of denominators i.e. for 527,292,159 is 24467556.

Thus, GCF of Fractions is 1/24467556.Finally, GCF of Fractions for 696/527, 275/292, 598/159 is 1/24467556.