Greatest Common Factor of 2896/40, 9049/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2896/40, 9049/628

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 2896/40,9049/628

Given fractions are 2896/40,9049/628

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 2896,9049

Greatest Common Factor of Numerators i.e. GCF of 2896,9049 is 1 .

LCM of Denominators means LCM of 40,628 as per the given fractions.

LCM of 40,628 is 6280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2896,9049

GCF of Fractions 2896/40,9049/628 is 1/6280

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2896,9049 By Matching Biggest Common Factor Method

Greatest Common Factor of 2896,9049 By Matching Biggest Common Factor Method

Factors of 2896

List of positive integer factors of 2896 that divides 2896 without a remainder.

1,2,4,8,16,181,362,724,1448,2896

Factors of 9049

List of positive integer factors of 9049 that divides 9049 without a remainder.

1,9049

Greatest Common Factor

We found the factors 2896,9049 . The biggest common factor number is the GCF number.
So the greatest common factor 2896,9049 is 1.

Lets's calculate LCM of 40,628

2 40, 628
2 20, 314
10, 157

∴ So the LCM of the given numbers is 2 x 2 x 10 x 157 = 6280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6280

Therefore, the GCF of Fractions 2896/40,9049/628 is 1/6280

Least Common Multiple of 40,628 with GCF Formula

Least Common Multiple of 40,628 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 40,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,628) = 4

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

GCF(40,628) x common factors =4 x 1 = 4

LCM(40,628) = ( 40 × 628 ) / 4

LCM(40,628) = 25120 / 4

LCM(40,628) = 6280


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 2896/40, 9049/628

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 2896/40, 9049/628?

Answer: GCF of Numerators as per given numbers 2896/40, 9049/628 is

GCF of Numerators i.e. for 2896,9049 is 1

LCM of denominators i.e. for 40,628 is 6280.

Thus, GCF of Fractions is 1/6280.Finally, GCF of Fractions for 2896/40, 9049/628 is 1/6280.