Greatest Common Factor of 2967/622, 8942/1418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2967/622, 8942/1418

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 2967/622,8942/1418

Given fractions are 2967/622,8942/1418

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 2967,8942

Greatest Common Factor of Numerators i.e. GCF of 2967,8942 is 1 .

LCM of Denominators means LCM of 622,1418 as per the given fractions.

LCM of 622,1418 is 440998 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2967,8942

GCF of Fractions 2967/622,8942/1418 is 1/440998

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

Greatest Common Factor of 2967,8942 By Matching Biggest Common Factor Method

Greatest Common Factor of 2967,8942 By Matching Biggest Common Factor Method

Factors of 2967

List of positive integer factors of 2967 that divides 2967 without a remainder.

1,3,23,43,69,129,989,2967

Factors of 8942

List of positive integer factors of 8942 that divides 8942 without a remainder.

1,2,17,34,263,526,4471,8942

Greatest Common Factor

We found the factors 2967,8942 . The biggest common factor number is the GCF number.
So the greatest common factor 2967,8942 is 1.

Lets's calculate LCM of 622,1418

2 622, 1418
311, 709

∴ So the LCM of the given numbers is 2 x 311 x 709 = 440998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/440998

Therefore, the GCF of Fractions 2967/622,8942/1418 is 1/440998

Least Common Multiple of 622,1418 with GCF Formula

Least Common Multiple of 622,1418 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 622,1418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,1418) = 2

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

GCF(622,1418) x common factors =2 x 1 = 2

LCM(622,1418) = ( 622 × 1418 ) / 2

LCM(622,1418) = 881996 / 2

LCM(622,1418) = 440998


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 2967/622, 8942/1418

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 2967/622, 8942/1418?

Answer: GCF of Numerators as per given numbers 2967/622, 8942/1418 is

GCF of Numerators i.e. for 2967,8942 is 1

LCM of denominators i.e. for 622,1418 is 440998.

Thus, GCF of Fractions is 1/440998.Finally, GCF of Fractions for 2967/622, 8942/1418 is 1/440998.