Greatest Common Factor of 720/9766, 650/7097

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 720/9766, 650/7097

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 720/9766,650/7097

Given fractions are 720/9766,650/7097

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 720,650

Greatest Common Factor of Numerators i.e. GCF of 720,650 is 10 .

LCM of Denominators means LCM of 9766,7097 as per the given fractions.

LCM of 9766,7097 is 69309302 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 720,650

GCF of Fractions 720/9766,650/7097 is 10/69309302

2 720, 650
5 360, 325
72, 65

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

Greatest Common Factor of 720,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,650 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 720,650 . The biggest common factor number is the GCF number.
So the greatest common factor 720,650 is 10.

Lets's calculate LCM of 9766,7097

Given numbers has no common factors except 1. So, there LCM is their product i.e 69309302

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/69309302

Therefore, the GCF of Fractions 720/9766,650/7097 is 10/69309302

Least Common Multiple of 9766,7097 with GCF Formula

Least Common Multiple of 9766,7097 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 9766,7097 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9766,7097) = 1

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

GCF(9766,7097) x common factors =1 x 1 = 1

LCM(9766,7097) = ( 9766 × 7097 ) / 1

LCM(9766,7097) = 69309302 / 1

LCM(9766,7097) = 69309302


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 720/9766, 650/7097

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 720/9766, 650/7097?

Answer: GCF of Numerators as per given numbers 720/9766, 650/7097 is

GCF of Numerators i.e. for 720,650 is 10

LCM of denominators i.e. for 9766,7097 is 69309302.

Thus, GCF of Fractions is 10/69309302.Finally, GCF of Fractions for 720/9766, 650/7097 is 10/69309302.