Greatest Common Factor of 101/82, 124/3488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 101/82, 124/3488

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 101/82,124/3488

Given fractions are 101/82,124/3488

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 101,124

Greatest Common Factor of Numerators i.e. GCF of 101,124 is 1 .

LCM of Denominators means LCM of 82,3488 as per the given fractions.

LCM of 82,3488 is 143008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 101,124

GCF of Fractions 101/82,124/3488 is 1/143008

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

Greatest Common Factor of 101,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,124 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 101,124 . The biggest common factor number is the GCF number.
So the greatest common factor 101,124 is 1.

Lets's calculate LCM of 82,3488

2 82, 3488
41, 1744

∴ So the LCM of the given numbers is 2 x 41 x 1744 = 143008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143008

Therefore, the GCF of Fractions 101/82,124/3488 is 1/143008

Least Common Multiple of 82,3488 with GCF Formula

Least Common Multiple of 82,3488 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 82,3488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,3488) = 2

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

GCF(82,3488) x common factors =2 x 1 = 2

LCM(82,3488) = ( 82 × 3488 ) / 2

LCM(82,3488) = 286016 / 2

LCM(82,3488) = 143008


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 101/82, 124/3488

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 101/82, 124/3488?

Answer: GCF of Numerators as per given numbers 101/82, 124/3488 is

GCF of Numerators i.e. for 101,124 is 1

LCM of denominators i.e. for 82,3488 is 143008.

Thus, GCF of Fractions is 1/143008.Finally, GCF of Fractions for 101/82, 124/3488 is 1/143008.