Greatest Common Factor of 2254/67, 6022/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2254/67, 6022/492

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 2254/67,6022/492

Given fractions are 2254/67,6022/492

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 2254,6022

Greatest Common Factor of Numerators i.e. GCF of 2254,6022 is 2 .

LCM of Denominators means LCM of 67,492 as per the given fractions.

LCM of 67,492 is 32964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2254,6022

GCF of Fractions 2254/67,6022/492 is 2/32964

2 2254, 6022
1127, 3011

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

Greatest Common Factor of 2254,6022 By Matching Biggest Common Factor Method

Greatest Common Factor of 2254,6022 By Matching Biggest Common Factor Method

Factors of 2254

List of positive integer factors of 2254 that divides 2254 without a remainder.

1,2,7,14,23,46,49,98,161,322,1127,2254

Factors of 6022

List of positive integer factors of 6022 that divides 6022 without a remainder.

1,2,3011,6022

Greatest Common Factor

We found the factors 2254,6022 . The biggest common factor number is the GCF number.
So the greatest common factor 2254,6022 is 2.

Lets's calculate LCM of 67,492

Given numbers has no common factors except 1. So, there LCM is their product i.e 32964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32964

Therefore, the GCF of Fractions 2254/67,6022/492 is 2/32964

Least Common Multiple of 67,492 with GCF Formula

Least Common Multiple of 67,492 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 67,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,492) = 1

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

GCF(67,492) x common factors =1 x 1 = 1

LCM(67,492) = ( 67 × 492 ) / 1

LCM(67,492) = 32964 / 1

LCM(67,492) = 32964


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 2254/67, 6022/492

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 2254/67, 6022/492?

Answer: GCF of Numerators as per given numbers 2254/67, 6022/492 is

GCF of Numerators i.e. for 2254,6022 is 2

LCM of denominators i.e. for 67,492 is 32964.

Thus, GCF of Fractions is 2/32964.Finally, GCF of Fractions for 2254/67, 6022/492 is 2/32964.