Greatest Common Factor of 7952/65, 5970/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7952/65, 5970/209

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 7952/65,5970/209

Given fractions are 7952/65,5970/209

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 7952,5970

Greatest Common Factor of Numerators i.e. GCF of 7952,5970 is 2 .

LCM of Denominators means LCM of 65,209 as per the given fractions.

LCM of 65,209 is 13585 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7952,5970

GCF of Fractions 7952/65,5970/209 is 2/13585

2 7952, 5970
3976, 2985

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

Greatest Common Factor of 7952,5970 By Matching Biggest Common Factor Method

Greatest Common Factor of 7952,5970 By Matching Biggest Common Factor Method

Factors of 7952

List of positive integer factors of 7952 that divides 7952 without a remainder.

1,2,4,7,8,14,16,28,56,71,112,142,284,497,568,994,1136,1988,3976,7952

Factors of 5970

List of positive integer factors of 5970 that divides 5970 without a remainder.

1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970

Greatest Common Factor

We found the factors 7952,5970 . The biggest common factor number is the GCF number.
So the greatest common factor 7952,5970 is 2.

Lets's calculate LCM of 65,209

Given numbers has no common factors except 1. So, there LCM is their product i.e 13585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13585

Therefore, the GCF of Fractions 7952/65,5970/209 is 2/13585

Least Common Multiple of 65,209 with GCF Formula

Least Common Multiple of 65,209 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 65,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,209) = 1

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

GCF(65,209) x common factors =1 x 1 = 1

LCM(65,209) = ( 65 × 209 ) / 1

LCM(65,209) = 13585 / 1

LCM(65,209) = 13585


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 7952/65, 5970/209

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 7952/65, 5970/209?

Answer: GCF of Numerators as per given numbers 7952/65, 5970/209 is

GCF of Numerators i.e. for 7952,5970 is 2

LCM of denominators i.e. for 65,209 is 13585.

Thus, GCF of Fractions is 2/13585.Finally, GCF of Fractions for 7952/65, 5970/209 is 2/13585.