Greatest Common Factor of 8378/754, 1513/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8378/754, 1513/507

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 8378/754,1513/507

Given fractions are 8378/754,1513/507

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 8378,1513

Greatest Common Factor of Numerators i.e. GCF of 8378,1513 is 1 .

LCM of Denominators means LCM of 754,507 as per the given fractions.

LCM of 754,507 is 29406 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8378,1513

GCF of Fractions 8378/754,1513/507 is 1/29406

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

Greatest Common Factor of 8378,1513 By Matching Biggest Common Factor Method

Greatest Common Factor of 8378,1513 By Matching Biggest Common Factor Method

Factors of 8378

List of positive integer factors of 8378 that divides 8378 without a remainder.

1,2,59,71,118,142,4189,8378

Factors of 1513

List of positive integer factors of 1513 that divides 1513 without a remainder.

1,17,89,1513

Greatest Common Factor

We found the factors 8378,1513 . The biggest common factor number is the GCF number.
So the greatest common factor 8378,1513 is 1.

Lets's calculate LCM of 754,507

13 754, 507
58, 39

∴ So the LCM of the given numbers is 13 x 58 x 39 = 29406

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29406

Therefore, the GCF of Fractions 8378/754,1513/507 is 1/29406

Least Common Multiple of 754,507 with GCF Formula

Least Common Multiple of 754,507 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 754,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,507) = 13

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

GCF(754,507) x common factors =13 x 1 = 13

LCM(754,507) = ( 754 × 507 ) / 13

LCM(754,507) = 382278 / 13

LCM(754,507) = 29406


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 8378/754, 1513/507

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 8378/754, 1513/507?

Answer: GCF of Numerators as per given numbers 8378/754, 1513/507 is

GCF of Numerators i.e. for 8378,1513 is 1

LCM of denominators i.e. for 754,507 is 29406.

Thus, GCF of Fractions is 1/29406.Finally, GCF of Fractions for 8378/754, 1513/507 is 1/29406.