Greatest Common Factor of 7908/849, 9459/2983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7908/849, 9459/2983

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 7908/849,9459/2983

Given fractions are 7908/849,9459/2983

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 7908,9459

Greatest Common Factor of Numerators i.e. GCF of 7908,9459 is 3 .

LCM of Denominators means LCM of 849,2983 as per the given fractions.

LCM of 849,2983 is 2532567 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7908,9459

GCF of Fractions 7908/849,9459/2983 is 3/2532567

3 7908, 9459
2636, 3153

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7908,9459 By Matching Biggest Common Factor Method

Greatest Common Factor of 7908,9459 By Matching Biggest Common Factor Method

Factors of 7908

List of positive integer factors of 7908 that divides 7908 without a remainder.

1,2,3,4,6,12,659,1318,1977,2636,3954,7908

Factors of 9459

List of positive integer factors of 9459 that divides 9459 without a remainder.

1,3,9,1051,3153,9459

Greatest Common Factor

We found the factors 7908,9459 . The biggest common factor number is the GCF number.
So the greatest common factor 7908,9459 is 3.

Lets's calculate LCM of 849,2983

Given numbers has no common factors except 1. So, there LCM is their product i.e 2532567

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2532567

Therefore, the GCF of Fractions 7908/849,9459/2983 is 3/2532567

Least Common Multiple of 849,2983 with GCF Formula

Least Common Multiple of 849,2983 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 849,2983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,2983) = 1

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

GCF(849,2983) x common factors =1 x 1 = 1

LCM(849,2983) = ( 849 × 2983 ) / 1

LCM(849,2983) = 2532567 / 1

LCM(849,2983) = 2532567


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 7908/849, 9459/2983

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 7908/849, 9459/2983?

Answer: GCF of Numerators as per given numbers 7908/849, 9459/2983 is

GCF of Numerators i.e. for 7908,9459 is 3

LCM of denominators i.e. for 849,2983 is 2532567.

Thus, GCF of Fractions is 3/2532567.Finally, GCF of Fractions for 7908/849, 9459/2983 is 3/2532567.