Greatest Common Factor of 9702/916, 7846/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9702/916, 7846/582

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 9702/916,7846/582

Given fractions are 9702/916,7846/582

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 9702,7846

Greatest Common Factor of Numerators i.e. GCF of 9702,7846 is 2 .

LCM of Denominators means LCM of 916,582 as per the given fractions.

LCM of 916,582 is 266556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9702,7846

GCF of Fractions 9702/916,7846/582 is 2/266556

2 9702, 7846
4851, 3923

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

Greatest Common Factor of 9702,7846 By Matching Biggest Common Factor Method

Greatest Common Factor of 9702,7846 By Matching Biggest Common Factor Method

Factors of 9702

List of positive integer factors of 9702 that divides 9702 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,33,42,49,63,66,77,98,99,126,147,154,198,231,294,441,462,539,693,882,1078,1386,1617,3234,4851,9702

Factors of 7846

List of positive integer factors of 7846 that divides 7846 without a remainder.

1,2,3923,7846

Greatest Common Factor

We found the factors 9702,7846 . The biggest common factor number is the GCF number.
So the greatest common factor 9702,7846 is 2.

Lets's calculate LCM of 916,582

2 916, 582
458, 291

∴ So the LCM of the given numbers is 2 x 458 x 291 = 266556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/266556

Therefore, the GCF of Fractions 9702/916,7846/582 is 2/266556

Least Common Multiple of 916,582 with GCF Formula

Least Common Multiple of 916,582 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 916,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,582) = 2

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

GCF(916,582) x common factors =2 x 1 = 2

LCM(916,582) = ( 916 × 582 ) / 2

LCM(916,582) = 533112 / 2

LCM(916,582) = 266556


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 9702/916, 7846/582

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 9702/916, 7846/582?

Answer: GCF of Numerators as per given numbers 9702/916, 7846/582 is

GCF of Numerators i.e. for 9702,7846 is 2

LCM of denominators i.e. for 916,582 is 266556.

Thus, GCF of Fractions is 2/266556.Finally, GCF of Fractions for 9702/916, 7846/582 is 2/266556.