Greatest Common Factor of 2896/529, 8466/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2896/529, 8466/916

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 2896/529,8466/916

Given fractions are 2896/529,8466/916

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 2896,8466

Greatest Common Factor of Numerators i.e. GCF of 2896,8466 is 2 .

LCM of Denominators means LCM of 529,916 as per the given fractions.

LCM of 529,916 is 484564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2896,8466

GCF of Fractions 2896/529,8466/916 is 2/484564

2 2896, 8466
1448, 4233

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

Greatest Common Factor of 2896,8466 By Matching Biggest Common Factor Method

Greatest Common Factor of 2896,8466 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 8466

List of positive integer factors of 8466 that divides 8466 without a remainder.

1,2,3,6,17,34,51,83,102,166,249,498,1411,2822,4233,8466

Greatest Common Factor

We found the factors 2896,8466 . The biggest common factor number is the GCF number.
So the greatest common factor 2896,8466 is 2.

Lets's calculate LCM of 529,916

Given numbers has no common factors except 1. So, there LCM is their product i.e 484564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/484564

Therefore, the GCF of Fractions 2896/529,8466/916 is 2/484564

Least Common Multiple of 529,916 with GCF Formula

Least Common Multiple of 529,916 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 529,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,916) = 1

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

GCF(529,916) x common factors =1 x 1 = 1

LCM(529,916) = ( 529 × 916 ) / 1

LCM(529,916) = 484564 / 1

LCM(529,916) = 484564


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 2896/529, 8466/916

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 2896/529, 8466/916?

Answer: GCF of Numerators as per given numbers 2896/529, 8466/916 is

GCF of Numerators i.e. for 2896,8466 is 2

LCM of denominators i.e. for 529,916 is 484564.

Thus, GCF of Fractions is 2/484564.Finally, GCF of Fractions for 2896/529, 8466/916 is 2/484564.