Greatest Common Factor of 2145/56, 8665/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2145/56, 8665/172

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 2145/56,8665/172

Given fractions are 2145/56,8665/172

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 2145,8665

Greatest Common Factor of Numerators i.e. GCF of 2145,8665 is 5 .

LCM of Denominators means LCM of 56,172 as per the given fractions.

LCM of 56,172 is 2408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2145,8665

GCF of Fractions 2145/56,8665/172 is 5/2408

5 2145, 8665
429, 1733

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2145,8665 By Matching Biggest Common Factor Method

Greatest Common Factor of 2145,8665 By Matching Biggest Common Factor Method

Factors of 2145

List of positive integer factors of 2145 that divides 2145 without a remainder.

1,3,5,11,13,15,33,39,55,65,143,165,195,429,715,2145

Factors of 8665

List of positive integer factors of 8665 that divides 8665 without a remainder.

1,5,1733,8665

Greatest Common Factor

We found the factors 2145,8665 . The biggest common factor number is the GCF number.
So the greatest common factor 2145,8665 is 5.

Lets's calculate LCM of 56,172

2 56, 172
2 28, 86
14, 43

∴ So the LCM of the given numbers is 2 x 2 x 14 x 43 = 2408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2408

Therefore, the GCF of Fractions 2145/56,8665/172 is 5/2408

Least Common Multiple of 56,172 with GCF Formula

Least Common Multiple of 56,172 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 56,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,172) = 4

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

GCF(56,172) x common factors =4 x 1 = 4

LCM(56,172) = ( 56 × 172 ) / 4

LCM(56,172) = 9632 / 4

LCM(56,172) = 2408


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 2145/56, 8665/172

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 2145/56, 8665/172?

Answer: GCF of Numerators as per given numbers 2145/56, 8665/172 is

GCF of Numerators i.e. for 2145,8665 is 5

LCM of denominators i.e. for 56,172 is 2408.

Thus, GCF of Fractions is 5/2408.Finally, GCF of Fractions for 2145/56, 8665/172 is 5/2408.