Greatest Common Factor of 9678/601, 9498/947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9678/601, 9498/947

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 9678/601,9498/947

Given fractions are 9678/601,9498/947

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 9678,9498

Greatest Common Factor of Numerators i.e. GCF of 9678,9498 is 6 .

LCM of Denominators means LCM of 601,947 as per the given fractions.

LCM of 601,947 is 569147 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9678,9498

GCF of Fractions 9678/601,9498/947 is 6/569147

2 9678, 9498
3 4839, 4749
1613, 1583

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9678,9498 By Matching Biggest Common Factor Method

Greatest Common Factor of 9678,9498 By Matching Biggest Common Factor Method

Factors of 9678

List of positive integer factors of 9678 that divides 9678 without a remainder.

1,2,3,6,1613,3226,4839,9678

Factors of 9498

List of positive integer factors of 9498 that divides 9498 without a remainder.

1,2,3,6,1583,3166,4749,9498

Greatest Common Factor

We found the factors 9678,9498 . The biggest common factor number is the GCF number.
So the greatest common factor 9678,9498 is 6.

Lets's calculate LCM of 601,947

Given numbers has no common factors except 1. So, there LCM is their product i.e 569147

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/569147

Therefore, the GCF of Fractions 9678/601,9498/947 is 6/569147

Least Common Multiple of 601,947 with GCF Formula

Least Common Multiple of 601,947 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 601,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,947) = 1

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

GCF(601,947) x common factors =1 x 1 = 1

LCM(601,947) = ( 601 × 947 ) / 1

LCM(601,947) = 569147 / 1

LCM(601,947) = 569147


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 9678/601, 9498/947

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 9678/601, 9498/947?

Answer: GCF of Numerators as per given numbers 9678/601, 9498/947 is

GCF of Numerators i.e. for 9678,9498 is 6

LCM of denominators i.e. for 601,947 is 569147.

Thus, GCF of Fractions is 6/569147.Finally, GCF of Fractions for 9678/601, 9498/947 is 6/569147.