Greatest Common Factor of 2076/297, 2376/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2076/297, 2376/602

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 2076/297,2376/602

Given fractions are 2076/297,2376/602

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 2076,2376

Greatest Common Factor of Numerators i.e. GCF of 2076,2376 is 12 .

LCM of Denominators means LCM of 297,602 as per the given fractions.

LCM of 297,602 is 178794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2076,2376

GCF of Fractions 2076/297,2376/602 is 12/178794

2 2076, 2376
2 1038, 1188
3 519, 594
173, 198

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

Greatest Common Factor of 2076,2376 By Matching Biggest Common Factor Method

Greatest Common Factor of 2076,2376 By Matching Biggest Common Factor Method

Factors of 2076

List of positive integer factors of 2076 that divides 2076 without a remainder.

1,2,3,4,6,12,173,346,519,692,1038,2076

Factors of 2376

List of positive integer factors of 2376 that divides 2376 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,88,99,108,132,198,216,264,297,396,594,792,1188,2376

Greatest Common Factor

We found the factors 2076,2376 . The biggest common factor number is the GCF number.
So the greatest common factor 2076,2376 is 12.

Lets's calculate LCM of 297,602

Given numbers has no common factors except 1. So, there LCM is their product i.e 178794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/178794

Therefore, the GCF of Fractions 2076/297,2376/602 is 12/178794

Least Common Multiple of 297,602 with GCF Formula

Least Common Multiple of 297,602 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 297,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,602) = 1

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

GCF(297,602) x common factors =1 x 1 = 1

LCM(297,602) = ( 297 × 602 ) / 1

LCM(297,602) = 178794 / 1

LCM(297,602) = 178794


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 2076/297, 2376/602

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 2076/297, 2376/602?

Answer: GCF of Numerators as per given numbers 2076/297, 2376/602 is

GCF of Numerators i.e. for 2076,2376 is 12

LCM of denominators i.e. for 297,602 is 178794.

Thus, GCF of Fractions is 12/178794.Finally, GCF of Fractions for 2076/297, 2376/602 is 12/178794.