Greatest Common Factor of 2968/426, 4702/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2968/426, 4702/655

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 2968/426,4702/655

Given fractions are 2968/426,4702/655

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 2968,4702

Greatest Common Factor of Numerators i.e. GCF of 2968,4702 is 2 .

LCM of Denominators means LCM of 426,655 as per the given fractions.

LCM of 426,655 is 279030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2968,4702

GCF of Fractions 2968/426,4702/655 is 2/279030

2 2968, 4702
1484, 2351

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

Greatest Common Factor of 2968,4702 By Matching Biggest Common Factor Method

Greatest Common Factor of 2968,4702 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 4702

List of positive integer factors of 4702 that divides 4702 without a remainder.

1,2,2351,4702

Greatest Common Factor

We found the factors 2968,4702 . The biggest common factor number is the GCF number.
So the greatest common factor 2968,4702 is 2.

Lets's calculate LCM of 426,655

Given numbers has no common factors except 1. So, there LCM is their product i.e 279030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/279030

Therefore, the GCF of Fractions 2968/426,4702/655 is 2/279030

Least Common Multiple of 426,655 with GCF Formula

Least Common Multiple of 426,655 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 426,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,655) = 1

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

GCF(426,655) x common factors =1 x 1 = 1

LCM(426,655) = ( 426 × 655 ) / 1

LCM(426,655) = 279030 / 1

LCM(426,655) = 279030


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 2968/426, 4702/655

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 2968/426, 4702/655?

Answer: GCF of Numerators as per given numbers 2968/426, 4702/655 is

GCF of Numerators i.e. for 2968,4702 is 2

LCM of denominators i.e. for 426,655 is 279030.

Thus, GCF of Fractions is 2/279030.Finally, GCF of Fractions for 2968/426, 4702/655 is 2/279030.