Greatest Common Factor of 100/645, 8596/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 100/645, 8596/901

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 100/645,8596/901

Given fractions are 100/645,8596/901

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 100,8596

Greatest Common Factor of Numerators i.e. GCF of 100,8596 is 4 .

LCM of Denominators means LCM of 645,901 as per the given fractions.

LCM of 645,901 is 581145 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 100,8596

GCF of Fractions 100/645,8596/901 is 4/581145

2 100, 8596
2 50, 4298
25, 2149

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 100,8596 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,8596 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 8596

List of positive integer factors of 8596 that divides 8596 without a remainder.

1,2,4,7,14,28,307,614,1228,2149,4298,8596

Greatest Common Factor

We found the factors 100,8596 . The biggest common factor number is the GCF number.
So the greatest common factor 100,8596 is 4.

Lets's calculate LCM of 645,901

Given numbers has no common factors except 1. So, there LCM is their product i.e 581145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/581145

Therefore, the GCF of Fractions 100/645,8596/901 is 4/581145

Least Common Multiple of 645,901 with GCF Formula

Least Common Multiple of 645,901 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 645,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,901) = 1

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

GCF(645,901) x common factors =1 x 1 = 1

LCM(645,901) = ( 645 × 901 ) / 1

LCM(645,901) = 581145 / 1

LCM(645,901) = 581145


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 100/645, 8596/901

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 100/645, 8596/901?

Answer: GCF of Numerators as per given numbers 100/645, 8596/901 is

GCF of Numerators i.e. for 100,8596 is 4

LCM of denominators i.e. for 645,901 is 581145.

Thus, GCF of Fractions is 4/581145.Finally, GCF of Fractions for 100/645, 8596/901 is 4/581145.