Greatest Common Factor of 672/61, 228/5021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 672/61, 228/5021

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 672/61,228/5021

Given fractions are 672/61,228/5021

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 672,228

Greatest Common Factor of Numerators i.e. GCF of 672,228 is 12 .

LCM of Denominators means LCM of 61,5021 as per the given fractions.

LCM of 61,5021 is 306281 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 672,228

GCF of Fractions 672/61,228/5021 is 12/306281

2 672, 228
2 336, 114
3 168, 57
56, 19

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 672,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,228 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 672,228 . The biggest common factor number is the GCF number.
So the greatest common factor 672,228 is 12.

Lets's calculate LCM of 61,5021

Given numbers has no common factors except 1. So, there LCM is their product i.e 306281

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/306281

Therefore, the GCF of Fractions 672/61,228/5021 is 12/306281

Least Common Multiple of 61,5021 with GCF Formula

Least Common Multiple of 61,5021 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 61,5021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,5021) = 1

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

GCF(61,5021) x common factors =1 x 1 = 1

LCM(61,5021) = ( 61 × 5021 ) / 1

LCM(61,5021) = 306281 / 1

LCM(61,5021) = 306281


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 672/61, 228/5021

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 672/61, 228/5021?

Answer: GCF of Numerators as per given numbers 672/61, 228/5021 is

GCF of Numerators i.e. for 672,228 is 12

LCM of denominators i.e. for 61,5021 is 306281.

Thus, GCF of Fractions is 12/306281.Finally, GCF of Fractions for 672/61, 228/5021 is 12/306281.