Greatest Common Factor of 752/215, 1164/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 752/215, 1164/206

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 752/215,1164/206

Given fractions are 752/215,1164/206

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 752,1164

Greatest Common Factor of Numerators i.e. GCF of 752,1164 is 4 .

LCM of Denominators means LCM of 215,206 as per the given fractions.

LCM of 215,206 is 44290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 752,1164

GCF of Fractions 752/215,1164/206 is 4/44290

2 752, 1164
2 376, 582
188, 291

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 752,1164 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,1164 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 1164

List of positive integer factors of 1164 that divides 1164 without a remainder.

1,2,3,4,6,12,97,194,291,388,582,1164

Greatest Common Factor

We found the factors 752,1164 . The biggest common factor number is the GCF number.
So the greatest common factor 752,1164 is 4.

Lets's calculate LCM of 215,206

Given numbers has no common factors except 1. So, there LCM is their product i.e 44290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/44290

Therefore, the GCF of Fractions 752/215,1164/206 is 4/44290

Least Common Multiple of 215,206 with GCF Formula

Least Common Multiple of 215,206 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 215,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,206) = 1

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

GCF(215,206) x common factors =1 x 1 = 1

LCM(215,206) = ( 215 × 206 ) / 1

LCM(215,206) = 44290 / 1

LCM(215,206) = 44290


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 752/215, 1164/206

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 752/215, 1164/206?

Answer: GCF of Numerators as per given numbers 752/215, 1164/206 is

GCF of Numerators i.e. for 752,1164 is 4

LCM of denominators i.e. for 215,206 is 44290.

Thus, GCF of Fractions is 4/44290.Finally, GCF of Fractions for 752/215, 1164/206 is 4/44290.