Greatest Common Factor of 4569/140, 8657/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4569/140, 8657/659

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 4569/140,8657/659

Given fractions are 4569/140,8657/659

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 4569,8657

Greatest Common Factor of Numerators i.e. GCF of 4569,8657 is 1 .

LCM of Denominators means LCM of 140,659 as per the given fractions.

LCM of 140,659 is 92260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4569,8657

GCF of Fractions 4569/140,8657/659 is 1/92260

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

Greatest Common Factor of 4569,8657 By Matching Biggest Common Factor Method

Greatest Common Factor of 4569,8657 By Matching Biggest Common Factor Method

Factors of 4569

List of positive integer factors of 4569 that divides 4569 without a remainder.

1,3,1523,4569

Factors of 8657

List of positive integer factors of 8657 that divides 8657 without a remainder.

1,11,787,8657

Greatest Common Factor

We found the factors 4569,8657 . The biggest common factor number is the GCF number.
So the greatest common factor 4569,8657 is 1.

Lets's calculate LCM of 140,659

Given numbers has no common factors except 1. So, there LCM is their product i.e 92260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92260

Therefore, the GCF of Fractions 4569/140,8657/659 is 1/92260

Least Common Multiple of 140,659 with GCF Formula

Least Common Multiple of 140,659 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 140,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,659) = 1

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

GCF(140,659) x common factors =1 x 1 = 1

LCM(140,659) = ( 140 × 659 ) / 1

LCM(140,659) = 92260 / 1

LCM(140,659) = 92260


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 4569/140, 8657/659

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 4569/140, 8657/659?

Answer: GCF of Numerators as per given numbers 4569/140, 8657/659 is

GCF of Numerators i.e. for 4569,8657 is 1

LCM of denominators i.e. for 140,659 is 92260.

Thus, GCF of Fractions is 1/92260.Finally, GCF of Fractions for 4569/140, 8657/659 is 1/92260.