Greatest Common Factor of 532/57, 559/60, 349/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 532/57, 559/60, 349/760

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 532/57,559/60,349/760

Given fractions are 532/57,559/60,349/760

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 532,559,349

Greatest Common Factor of Numerators i.e. GCF of 532,559,349 is 1 .

LCM of Denominators means LCM of 57,60,760 as per the given fractions.

LCM of 57,60,760 is 2280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 532,559,349

GCF of Fractions 532/57,559/60,349/760 is 1/2280

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

Greatest Common Factor of 532,559,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,559,349 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 532,559,349 . The biggest common factor number is the GCF number.
So the greatest common factor 532,559,349 is 1.

Lets's calculate LCM of 57,60,760

2 57, 60, 760
2 57, 30, 380
3 57, 15, 190
5 19, 5, 190
19 19, 1, 38
1, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 19 x 1 x 1 x 2 = 2280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2280

Therefore, the GCF of Fractions 532/57,559/60,349/760 is 1/2280

Least Common Multiple of 57,60,760 with GCF Formula

Least Common Multiple of 57,60,760 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 57,60,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,60,760) = 1

common factors(in case of two or more numbers have common factors) = 1140

GCF(57,60,760) x common factors =1 x 1140 = 1140

LCM(57,60,760) = ( 57 × 60 × 760 ) / 1140

LCM(57,60,760) = 2599200 / 1140

LCM(57,60,760) = 2280


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 532/57, 559/60, 349/760

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 532/57, 559/60, 349/760?

Answer: GCF of Numerators as per given numbers 532/57, 559/60, 349/760 is

GCF of Numerators i.e. for 532,559,349 is 1

LCM of denominators i.e. for 57,60,760 is 2280.

Thus, GCF of Fractions is 1/2280.Finally, GCF of Fractions for 532/57, 559/60, 349/760 is 1/2280.