Greatest Common Factor of 9650/965, 2090/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9650/965, 2090/716

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 9650/965,2090/716

Given fractions are 9650/965,2090/716

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 9650,2090

Greatest Common Factor of Numerators i.e. GCF of 9650,2090 is 10 .

LCM of Denominators means LCM of 965,716 as per the given fractions.

LCM of 965,716 is 690940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9650,2090

GCF of Fractions 9650/965,2090/716 is 10/690940

2 9650, 2090
5 4825, 1045
965, 209

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 9650,2090 By Matching Biggest Common Factor Method

Greatest Common Factor of 9650,2090 By Matching Biggest Common Factor Method

Factors of 9650

List of positive integer factors of 9650 that divides 9650 without a remainder.

1,2,5,10,25,50,193,386,965,1930,4825,9650

Factors of 2090

List of positive integer factors of 2090 that divides 2090 without a remainder.

1,2,5,10,11,19,22,38,55,95,110,190,209,418,1045,2090

Greatest Common Factor

We found the factors 9650,2090 . The biggest common factor number is the GCF number.
So the greatest common factor 9650,2090 is 10.

Lets's calculate LCM of 965,716

Given numbers has no common factors except 1. So, there LCM is their product i.e 690940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/690940

Therefore, the GCF of Fractions 9650/965,2090/716 is 10/690940

Least Common Multiple of 965,716 with GCF Formula

Least Common Multiple of 965,716 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 965,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(965,716) = 1

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

GCF(965,716) x common factors =1 x 1 = 1

LCM(965,716) = ( 965 × 716 ) / 1

LCM(965,716) = 690940 / 1

LCM(965,716) = 690940


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 9650/965, 2090/716

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 9650/965, 2090/716?

Answer: GCF of Numerators as per given numbers 9650/965, 2090/716 is

GCF of Numerators i.e. for 9650,2090 is 10

LCM of denominators i.e. for 965,716 is 690940.

Thus, GCF of Fractions is 10/690940.Finally, GCF of Fractions for 9650/965, 2090/716 is 10/690940.