Greatest Common Factor of 5018/759, 7634/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5018/759, 7634/124

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 5018/759,7634/124

Given fractions are 5018/759,7634/124

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 5018,7634

Greatest Common Factor of Numerators i.e. GCF of 5018,7634 is 2 .

LCM of Denominators means LCM of 759,124 as per the given fractions.

LCM of 759,124 is 94116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5018,7634

GCF of Fractions 5018/759,7634/124 is 2/94116

2 5018, 7634
2509, 3817

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5018,7634 By Matching Biggest Common Factor Method

Greatest Common Factor of 5018,7634 By Matching Biggest Common Factor Method

Factors of 5018

List of positive integer factors of 5018 that divides 5018 without a remainder.

1,2,13,26,193,386,2509,5018

Factors of 7634

List of positive integer factors of 7634 that divides 7634 without a remainder.

1,2,11,22,347,694,3817,7634

Greatest Common Factor

We found the factors 5018,7634 . The biggest common factor number is the GCF number.
So the greatest common factor 5018,7634 is 2.

Lets's calculate LCM of 759,124

Given numbers has no common factors except 1. So, there LCM is their product i.e 94116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/94116

Therefore, the GCF of Fractions 5018/759,7634/124 is 2/94116

Least Common Multiple of 759,124 with GCF Formula

Least Common Multiple of 759,124 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 759,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,124) = 1

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

GCF(759,124) x common factors =1 x 1 = 1

LCM(759,124) = ( 759 × 124 ) / 1

LCM(759,124) = 94116 / 1

LCM(759,124) = 94116


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 5018/759, 7634/124

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 5018/759, 7634/124?

Answer: GCF of Numerators as per given numbers 5018/759, 7634/124 is

GCF of Numerators i.e. for 5018,7634 is 2

LCM of denominators i.e. for 759,124 is 94116.

Thus, GCF of Fractions is 2/94116.Finally, GCF of Fractions for 5018/759, 7634/124 is 2/94116.