Greatest Common Factor of 1070/785, 9620/7691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1070/785, 9620/7691

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 1070/785,9620/7691

Given fractions are 1070/785,9620/7691

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 1070,9620

Greatest Common Factor of Numerators i.e. GCF of 1070,9620 is 10 .

LCM of Denominators means LCM of 785,7691 as per the given fractions.

LCM of 785,7691 is 6037435 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1070,9620

GCF of Fractions 1070/785,9620/7691 is 10/6037435

2 1070, 9620
5 535, 4810
107, 962

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

Greatest Common Factor of 1070,9620 By Matching Biggest Common Factor Method

Greatest Common Factor of 1070,9620 By Matching Biggest Common Factor Method

Factors of 1070

List of positive integer factors of 1070 that divides 1070 without a remainder.

1,2,5,10,107,214,535,1070

Factors of 9620

List of positive integer factors of 9620 that divides 9620 without a remainder.

1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620

Greatest Common Factor

We found the factors 1070,9620 . The biggest common factor number is the GCF number.
So the greatest common factor 1070,9620 is 10.

Lets's calculate LCM of 785,7691

Given numbers has no common factors except 1. So, there LCM is their product i.e 6037435

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/6037435

Therefore, the GCF of Fractions 1070/785,9620/7691 is 10/6037435

Least Common Multiple of 785,7691 with GCF Formula

Least Common Multiple of 785,7691 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 785,7691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,7691) = 1

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

GCF(785,7691) x common factors =1 x 1 = 1

LCM(785,7691) = ( 785 × 7691 ) / 1

LCM(785,7691) = 6037435 / 1

LCM(785,7691) = 6037435


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 1070/785, 9620/7691

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 1070/785, 9620/7691?

Answer: GCF of Numerators as per given numbers 1070/785, 9620/7691 is

GCF of Numerators i.e. for 1070,9620 is 10

LCM of denominators i.e. for 785,7691 is 6037435.

Thus, GCF of Fractions is 10/6037435.Finally, GCF of Fractions for 1070/785, 9620/7691 is 10/6037435.