Greatest Common Factor of 2948/96, 3634/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2948/96, 3634/990

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 2948/96,3634/990

Given fractions are 2948/96,3634/990

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 2948,3634

Greatest Common Factor of Numerators i.e. GCF of 2948,3634 is 2 .

LCM of Denominators means LCM of 96,990 as per the given fractions.

LCM of 96,990 is 15840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2948,3634

GCF of Fractions 2948/96,3634/990 is 2/15840

2 2948, 3634
1474, 1817

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

Greatest Common Factor of 2948,3634 By Matching Biggest Common Factor Method

Greatest Common Factor of 2948,3634 By Matching Biggest Common Factor Method

Factors of 2948

List of positive integer factors of 2948 that divides 2948 without a remainder.

1,2,4,11,22,44,67,134,268,737,1474,2948

Factors of 3634

List of positive integer factors of 3634 that divides 3634 without a remainder.

1,2,23,46,79,158,1817,3634

Greatest Common Factor

We found the factors 2948,3634 . The biggest common factor number is the GCF number.
So the greatest common factor 2948,3634 is 2.

Lets's calculate LCM of 96,990

2 96, 990
3 48, 495
16, 165

∴ So the LCM of the given numbers is 2 x 3 x 16 x 165 = 15840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15840

Therefore, the GCF of Fractions 2948/96,3634/990 is 2/15840

Least Common Multiple of 96,990 with GCF Formula

Least Common Multiple of 96,990 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 96,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,990) = 6

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

GCF(96,990) x common factors =6 x 1 = 6

LCM(96,990) = ( 96 × 990 ) / 6

LCM(96,990) = 95040 / 6

LCM(96,990) = 15840


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 2948/96, 3634/990

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 2948/96, 3634/990?

Answer: GCF of Numerators as per given numbers 2948/96, 3634/990 is

GCF of Numerators i.e. for 2948,3634 is 2

LCM of denominators i.e. for 96,990 is 15840.

Thus, GCF of Fractions is 2/15840.Finally, GCF of Fractions for 2948/96, 3634/990 is 2/15840.