Greatest Common Factor of 4418/604, 2501/7516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4418/604, 2501/7516

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 4418/604,2501/7516

Given fractions are 4418/604,2501/7516

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 4418,2501

Greatest Common Factor of Numerators i.e. GCF of 4418,2501 is 1 .

LCM of Denominators means LCM of 604,7516 as per the given fractions.

LCM of 604,7516 is 1134916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4418,2501

GCF of Fractions 4418/604,2501/7516 is 1/1134916

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

Greatest Common Factor of 4418,2501 By Matching Biggest Common Factor Method

Greatest Common Factor of 4418,2501 By Matching Biggest Common Factor Method

Factors of 4418

List of positive integer factors of 4418 that divides 4418 without a remainder.

1,2,47,94,2209,4418

Factors of 2501

List of positive integer factors of 2501 that divides 2501 without a remainder.

1,41,61,2501

Greatest Common Factor

We found the factors 4418,2501 . The biggest common factor number is the GCF number.
So the greatest common factor 4418,2501 is 1.

Lets's calculate LCM of 604,7516

2 604, 7516
2 302, 3758
151, 1879

∴ So the LCM of the given numbers is 2 x 2 x 151 x 1879 = 1134916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1134916

Therefore, the GCF of Fractions 4418/604,2501/7516 is 1/1134916

Least Common Multiple of 604,7516 with GCF Formula

Least Common Multiple of 604,7516 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 604,7516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,7516) = 4

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

GCF(604,7516) x common factors =4 x 1 = 4

LCM(604,7516) = ( 604 × 7516 ) / 4

LCM(604,7516) = 4539664 / 4

LCM(604,7516) = 1134916


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 4418/604, 2501/7516

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 4418/604, 2501/7516?

Answer: GCF of Numerators as per given numbers 4418/604, 2501/7516 is

GCF of Numerators i.e. for 4418,2501 is 1

LCM of denominators i.e. for 604,7516 is 1134916.

Thus, GCF of Fractions is 1/1134916.Finally, GCF of Fractions for 4418/604, 2501/7516 is 1/1134916.