Greatest Common Factor of 3583/678, 8912/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3583/678, 8912/924

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 3583/678,8912/924

Given fractions are 3583/678,8912/924

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 3583,8912

Greatest Common Factor of Numerators i.e. GCF of 3583,8912 is 1 .

LCM of Denominators means LCM of 678,924 as per the given fractions.

LCM of 678,924 is 104412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3583,8912

GCF of Fractions 3583/678,8912/924 is 1/104412

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

Greatest Common Factor of 3583,8912 By Matching Biggest Common Factor Method

Greatest Common Factor of 3583,8912 By Matching Biggest Common Factor Method

Factors of 3583

List of positive integer factors of 3583 that divides 3583 without a remainder.

1,3583

Factors of 8912

List of positive integer factors of 8912 that divides 8912 without a remainder.

1,2,4,8,16,557,1114,2228,4456,8912

Greatest Common Factor

We found the factors 3583,8912 . The biggest common factor number is the GCF number.
So the greatest common factor 3583,8912 is 1.

Lets's calculate LCM of 678,924

2 678, 924
3 339, 462
113, 154

∴ So the LCM of the given numbers is 2 x 3 x 113 x 154 = 104412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104412

Therefore, the GCF of Fractions 3583/678,8912/924 is 1/104412

Least Common Multiple of 678,924 with GCF Formula

Least Common Multiple of 678,924 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 678,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,924) = 6

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

GCF(678,924) x common factors =6 x 1 = 6

LCM(678,924) = ( 678 × 924 ) / 6

LCM(678,924) = 626472 / 6

LCM(678,924) = 104412


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 3583/678, 8912/924

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 3583/678, 8912/924?

Answer: GCF of Numerators as per given numbers 3583/678, 8912/924 is

GCF of Numerators i.e. for 3583,8912 is 1

LCM of denominators i.e. for 678,924 is 104412.

Thus, GCF of Fractions is 1/104412.Finally, GCF of Fractions for 3583/678, 8912/924 is 1/104412.