Greatest Common Factor of 4904/740, 7617/2698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4904/740, 7617/2698

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 4904/740,7617/2698

Given fractions are 4904/740,7617/2698

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 4904,7617

Greatest Common Factor of Numerators i.e. GCF of 4904,7617 is 1 .

LCM of Denominators means LCM of 740,2698 as per the given fractions.

LCM of 740,2698 is 998260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4904,7617

GCF of Fractions 4904/740,7617/2698 is 1/998260

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

Greatest Common Factor of 4904,7617 By Matching Biggest Common Factor Method

Greatest Common Factor of 4904,7617 By Matching Biggest Common Factor Method

Factors of 4904

List of positive integer factors of 4904 that divides 4904 without a remainder.

1,2,4,8,613,1226,2452,4904

Factors of 7617

List of positive integer factors of 7617 that divides 7617 without a remainder.

1,3,2539,7617

Greatest Common Factor

We found the factors 4904,7617 . The biggest common factor number is the GCF number.
So the greatest common factor 4904,7617 is 1.

Lets's calculate LCM of 740,2698

2 740, 2698
370, 1349

∴ So the LCM of the given numbers is 2 x 370 x 1349 = 998260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/998260

Therefore, the GCF of Fractions 4904/740,7617/2698 is 1/998260

Least Common Multiple of 740,2698 with GCF Formula

Least Common Multiple of 740,2698 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 740,2698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,2698) = 2

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

GCF(740,2698) x common factors =2 x 1 = 2

LCM(740,2698) = ( 740 × 2698 ) / 2

LCM(740,2698) = 1996520 / 2

LCM(740,2698) = 998260


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 4904/740, 7617/2698

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 4904/740, 7617/2698?

Answer: GCF of Numerators as per given numbers 4904/740, 7617/2698 is

GCF of Numerators i.e. for 4904,7617 is 1

LCM of denominators i.e. for 740,2698 is 998260.

Thus, GCF of Fractions is 1/998260.Finally, GCF of Fractions for 4904/740, 7617/2698 is 1/998260.