Greatest Common Factor of 7519/136, 8998/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7519/136, 8998/417

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 7519/136,8998/417

Given fractions are 7519/136,8998/417

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 7519,8998

Greatest Common Factor of Numerators i.e. GCF of 7519,8998 is 1 .

LCM of Denominators means LCM of 136,417 as per the given fractions.

LCM of 136,417 is 56712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7519,8998

GCF of Fractions 7519/136,8998/417 is 1/56712

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

Greatest Common Factor of 7519,8998 By Matching Biggest Common Factor Method

Greatest Common Factor of 7519,8998 By Matching Biggest Common Factor Method

Factors of 7519

List of positive integer factors of 7519 that divides 7519 without a remainder.

1,73,103,7519

Factors of 8998

List of positive integer factors of 8998 that divides 8998 without a remainder.

1,2,11,22,409,818,4499,8998

Greatest Common Factor

We found the factors 7519,8998 . The biggest common factor number is the GCF number.
So the greatest common factor 7519,8998 is 1.

Lets's calculate LCM of 136,417

Given numbers has no common factors except 1. So, there LCM is their product i.e 56712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56712

Therefore, the GCF of Fractions 7519/136,8998/417 is 1/56712

Least Common Multiple of 136,417 with GCF Formula

Least Common Multiple of 136,417 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 136,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,417) = 1

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

GCF(136,417) x common factors =1 x 1 = 1

LCM(136,417) = ( 136 × 417 ) / 1

LCM(136,417) = 56712 / 1

LCM(136,417) = 56712


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 7519/136, 8998/417

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 7519/136, 8998/417?

Answer: GCF of Numerators as per given numbers 7519/136, 8998/417 is

GCF of Numerators i.e. for 7519,8998 is 1

LCM of denominators i.e. for 136,417 is 56712.

Thus, GCF of Fractions is 1/56712.Finally, GCF of Fractions for 7519/136, 8998/417 is 1/56712.