Greatest Common Factor of 8583/158, 3645/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8583/158, 3645/988

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 8583/158,3645/988

Given fractions are 8583/158,3645/988

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 8583,3645

Greatest Common Factor of Numerators i.e. GCF of 8583,3645 is 3 .

LCM of Denominators means LCM of 158,988 as per the given fractions.

LCM of 158,988 is 78052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8583,3645

GCF of Fractions 8583/158,3645/988 is 3/78052

3 8583, 3645
2861, 1215

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8583,3645 By Matching Biggest Common Factor Method

Greatest Common Factor of 8583,3645 By Matching Biggest Common Factor Method

Factors of 8583

List of positive integer factors of 8583 that divides 8583 without a remainder.

1,3,2861,8583

Factors of 3645

List of positive integer factors of 3645 that divides 3645 without a remainder.

1,3,5,9,15,27,45,81,135,243,405,729,1215,3645

Greatest Common Factor

We found the factors 8583,3645 . The biggest common factor number is the GCF number.
So the greatest common factor 8583,3645 is 3.

Lets's calculate LCM of 158,988

2 158, 988
79, 494

∴ So the LCM of the given numbers is 2 x 79 x 494 = 78052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/78052

Therefore, the GCF of Fractions 8583/158,3645/988 is 3/78052

Least Common Multiple of 158,988 with GCF Formula

Least Common Multiple of 158,988 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 158,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(158,988) = 2

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

GCF(158,988) x common factors =2 x 1 = 2

LCM(158,988) = ( 158 × 988 ) / 2

LCM(158,988) = 156104 / 2

LCM(158,988) = 78052


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 8583/158, 3645/988

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 8583/158, 3645/988?

Answer: GCF of Numerators as per given numbers 8583/158, 3645/988 is

GCF of Numerators i.e. for 8583,3645 is 3

LCM of denominators i.e. for 158,988 is 78052.

Thus, GCF of Fractions is 3/78052.Finally, GCF of Fractions for 8583/158, 3645/988 is 3/78052.