Greatest Common Factor of 3/54, 83/99, 31/214, 559/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/54, 83/99, 31/214, 559/528

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 3/54,83/99,31/214,559/528

Given fractions are 3/54,83/99,31/214,559/528

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 3,83,31,559

Greatest Common Factor of Numerators i.e. GCF of 3,83,31,559 is 1 .

LCM of Denominators means LCM of 54,99,214,528 as per the given fractions.

LCM of 54,99,214,528 is 508464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,83,31,559

GCF of Fractions 3/54,83/99,31/214,559/528 is 1/508464

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

Greatest Common Factor of 3,83,31,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,83,31,559 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 559

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

1,13,43,559

Greatest Common Factor

We found the factors 3,83,31,559 . The biggest common factor number is the GCF number.
So the greatest common factor 3,83,31,559 is 1.

Lets's calculate LCM of 54,99,214,528

2 54, 99, 214, 528
3 27, 99, 107, 264
3 9, 33, 107, 88
11 3, 11, 107, 88
3, 1, 107, 8

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 3 x 1 x 107 x 8 = 508464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/508464

Therefore, the GCF of Fractions 3/54,83/99,31/214,559/528 is 1/508464

Least Common Multiple of 54,99,214,528 with GCF Formula

Least Common Multiple of 54,99,214,528 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 54,99,214,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,99,214,528) = 1

common factors(in case of two or more numbers have common factors) = 1188

GCF(54,99,214,528) x common factors =1 x 1188 = 1188

LCM(54,99,214,528) = ( 54 × 99 × 214 × 528 ) / 1188

LCM(54,99,214,528) = 604055232 / 1188

LCM(54,99,214,528) = 508464


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 3/54, 83/99, 31/214, 559/528

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 3/54, 83/99, 31/214, 559/528?

Answer: GCF of Numerators as per given numbers 3/54, 83/99, 31/214, 559/528 is

GCF of Numerators i.e. for 3,83,31,559 is 1

LCM of denominators i.e. for 54,99,214,528 is 508464.

Thus, GCF of Fractions is 1/508464.Finally, GCF of Fractions for 3/54, 83/99, 31/214, 559/528 is 1/508464.