Greatest Common Factor of 2968/98, 3614/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2968/98, 3614/488

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 2968/98,3614/488

Given fractions are 2968/98,3614/488

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 2968,3614

Greatest Common Factor of Numerators i.e. GCF of 2968,3614 is 2 .

LCM of Denominators means LCM of 98,488 as per the given fractions.

LCM of 98,488 is 23912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2968,3614

GCF of Fractions 2968/98,3614/488 is 2/23912

2 2968, 3614
1484, 1807

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

Greatest Common Factor of 2968,3614 By Matching Biggest Common Factor Method

Greatest Common Factor of 2968,3614 By Matching Biggest Common Factor Method

Factors of 2968

List of positive integer factors of 2968 that divides 2968 without a remainder.

1,2,4,7,8,14,28,53,56,106,212,371,424,742,1484,2968

Factors of 3614

List of positive integer factors of 3614 that divides 3614 without a remainder.

1,2,13,26,139,278,1807,3614

Greatest Common Factor

We found the factors 2968,3614 . The biggest common factor number is the GCF number.
So the greatest common factor 2968,3614 is 2.

Lets's calculate LCM of 98,488

2 98, 488
49, 244

∴ So the LCM of the given numbers is 2 x 49 x 244 = 23912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23912

Therefore, the GCF of Fractions 2968/98,3614/488 is 2/23912

Least Common Multiple of 98,488 with GCF Formula

Least Common Multiple of 98,488 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 98,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,488) = 2

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

GCF(98,488) x common factors =2 x 1 = 2

LCM(98,488) = ( 98 × 488 ) / 2

LCM(98,488) = 47824 / 2

LCM(98,488) = 23912


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 2968/98, 3614/488

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 2968/98, 3614/488?

Answer: GCF of Numerators as per given numbers 2968/98, 3614/488 is

GCF of Numerators i.e. for 2968,3614 is 2

LCM of denominators i.e. for 98,488 is 23912.

Thus, GCF of Fractions is 2/23912.Finally, GCF of Fractions for 2968/98, 3614/488 is 2/23912.