Greatest Common Factor of 532/57, 527/83, 292/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 532/57, 527/83, 292/421

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 532/57,527/83,292/421

Given fractions are 532/57,527/83,292/421

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 532,527,292

Greatest Common Factor of Numerators i.e. GCF of 532,527,292 is 1 .

LCM of Denominators means LCM of 57,83,421 as per the given fractions.

LCM of 57,83,421 is 1991751 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 532,527,292

GCF of Fractions 532/57,527/83,292/421 is 1/1991751

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

Greatest Common Factor of 532,527,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,527,292 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 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 532,527,292 . The biggest common factor number is the GCF number.
So the greatest common factor 532,527,292 is 1.

Lets's calculate LCM of 57,83,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 1991751

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1991751

Therefore, the GCF of Fractions 532/57,527/83,292/421 is 1/1991751

Least Common Multiple of 57,83,421 with GCF Formula

Least Common Multiple of 57,83,421 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 57,83,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,83,421) = 1

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

GCF(57,83,421) x common factors =1 x 1 = 1

LCM(57,83,421) = ( 57 × 83 × 421 ) / 1

LCM(57,83,421) = 1991751 / 1

LCM(57,83,421) = 1991751


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 532/57, 527/83, 292/421

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, 527/83, 292/421?

Answer: GCF of Numerators as per given numbers 532/57, 527/83, 292/421 is

GCF of Numerators i.e. for 532,527,292 is 1

LCM of denominators i.e. for 57,83,421 is 1991751.

Thus, GCF of Fractions is 1/1991751.Finally, GCF of Fractions for 532/57, 527/83, 292/421 is 1/1991751.