Greatest Common Factor of 1/82, 24/54, 39/832, 553/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/82, 24/54, 39/832, 553/166

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 1/82,24/54,39/832,553/166

Given fractions are 1/82,24/54,39/832,553/166

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 1,24,39,553

Greatest Common Factor of Numerators i.e. GCF of 1,24,39,553 is 1 .

LCM of Denominators means LCM of 82,54,832,166 as per the given fractions.

LCM of 82,54,832,166 is 76444992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,24,39,553

GCF of Fractions 1/82,24/54,39/832,553/166 is 1/76444992

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

Greatest Common Factor of 1,24,39,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,24,39,553 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Greatest Common Factor

We found the factors 1,24,39,553 . The biggest common factor number is the GCF number.
So the greatest common factor 1,24,39,553 is 1.

Lets's calculate LCM of 82,54,832,166

2 82, 54, 832, 166
41, 27, 416, 83

∴ So the LCM of the given numbers is 2 x 41 x 27 x 416 x 83 = 76444992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76444992

Therefore, the GCF of Fractions 1/82,24/54,39/832,553/166 is 1/76444992

Least Common Multiple of 82,54,832,166 with GCF Formula

Least Common Multiple of 82,54,832,166 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 82,54,832,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,54,832,166) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(82,54,832,166) x common factors =2 x 4 = 8

LCM(82,54,832,166) = ( 82 × 54 × 832 × 166 ) / 8

LCM(82,54,832,166) = 611559936 / 8

LCM(82,54,832,166) = 76444992


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 1/82, 24/54, 39/832, 553/166

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 1/82, 24/54, 39/832, 553/166?

Answer: GCF of Numerators as per given numbers 1/82, 24/54, 39/832, 553/166 is

GCF of Numerators i.e. for 1,24,39,553 is 1

LCM of denominators i.e. for 82,54,832,166 is 76444992.

Thus, GCF of Fractions is 1/76444992.Finally, GCF of Fractions for 1/82, 24/54, 39/832, 553/166 is 1/76444992.