Greatest Common Factor of 2548/71, 8422/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2548/71, 8422/342

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 2548/71,8422/342

Given fractions are 2548/71,8422/342

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 2548,8422

Greatest Common Factor of Numerators i.e. GCF of 2548,8422 is 2 .

LCM of Denominators means LCM of 71,342 as per the given fractions.

LCM of 71,342 is 24282 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2548,8422

GCF of Fractions 2548/71,8422/342 is 2/24282

2 2548, 8422
1274, 4211

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

Greatest Common Factor of 2548,8422 By Matching Biggest Common Factor Method

Greatest Common Factor of 2548,8422 By Matching Biggest Common Factor Method

Factors of 2548

List of positive integer factors of 2548 that divides 2548 without a remainder.

1,2,4,7,13,14,26,28,49,52,91,98,182,196,364,637,1274,2548

Factors of 8422

List of positive integer factors of 8422 that divides 8422 without a remainder.

1,2,4211,8422

Greatest Common Factor

We found the factors 2548,8422 . The biggest common factor number is the GCF number.
So the greatest common factor 2548,8422 is 2.

Lets's calculate LCM of 71,342

Given numbers has no common factors except 1. So, there LCM is their product i.e 24282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24282

Therefore, the GCF of Fractions 2548/71,8422/342 is 2/24282

Least Common Multiple of 71,342 with GCF Formula

Least Common Multiple of 71,342 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 71,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,342) = 1

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

GCF(71,342) x common factors =1 x 1 = 1

LCM(71,342) = ( 71 × 342 ) / 1

LCM(71,342) = 24282 / 1

LCM(71,342) = 24282


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 2548/71, 8422/342

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 2548/71, 8422/342?

Answer: GCF of Numerators as per given numbers 2548/71, 8422/342 is

GCF of Numerators i.e. for 2548,8422 is 2

LCM of denominators i.e. for 71,342 is 24282.

Thus, GCF of Fractions is 2/24282.Finally, GCF of Fractions for 2548/71, 8422/342 is 2/24282.