Greatest Common Factor of 8625/410, 4593/8942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8625/410, 4593/8942

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 8625/410,4593/8942

Given fractions are 8625/410,4593/8942

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 8625,4593

Greatest Common Factor of Numerators i.e. GCF of 8625,4593 is 3 .

LCM of Denominators means LCM of 410,8942 as per the given fractions.

LCM of 410,8942 is 1833110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8625,4593

GCF of Fractions 8625/410,4593/8942 is 3/1833110

3 8625, 4593
2875, 1531

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

Greatest Common Factor of 8625,4593 By Matching Biggest Common Factor Method

Greatest Common Factor of 8625,4593 By Matching Biggest Common Factor Method

Factors of 8625

List of positive integer factors of 8625 that divides 8625 without a remainder.

1,3,5,15,23,25,69,75,115,125,345,375,575,1725,2875,8625

Factors of 4593

List of positive integer factors of 4593 that divides 4593 without a remainder.

1,3,1531,4593

Greatest Common Factor

We found the factors 8625,4593 . The biggest common factor number is the GCF number.
So the greatest common factor 8625,4593 is 3.

Lets's calculate LCM of 410,8942

2 410, 8942
205, 4471

∴ So the LCM of the given numbers is 2 x 205 x 4471 = 1833110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1833110

Therefore, the GCF of Fractions 8625/410,4593/8942 is 3/1833110

Least Common Multiple of 410,8942 with GCF Formula

Least Common Multiple of 410,8942 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 410,8942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,8942) = 2

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

GCF(410,8942) x common factors =2 x 1 = 2

LCM(410,8942) = ( 410 × 8942 ) / 2

LCM(410,8942) = 3666220 / 2

LCM(410,8942) = 1833110


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 8625/410, 4593/8942

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 8625/410, 4593/8942?

Answer: GCF of Numerators as per given numbers 8625/410, 4593/8942 is

GCF of Numerators i.e. for 8625,4593 is 3

LCM of denominators i.e. for 410,8942 is 1833110.

Thus, GCF of Fractions is 3/1833110.Finally, GCF of Fractions for 8625/410, 4593/8942 is 3/1833110.