Greatest Common Factor of 8108/435, 2633/9315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8108/435, 2633/9315

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 8108/435,2633/9315

Given fractions are 8108/435,2633/9315

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 8108,2633

Greatest Common Factor of Numerators i.e. GCF of 8108,2633 is 1 .

LCM of Denominators means LCM of 435,9315 as per the given fractions.

LCM of 435,9315 is 270135 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8108,2633

GCF of Fractions 8108/435,2633/9315 is 1/270135

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

Greatest Common Factor of 8108,2633 By Matching Biggest Common Factor Method

Greatest Common Factor of 8108,2633 By Matching Biggest Common Factor Method

Factors of 8108

List of positive integer factors of 8108 that divides 8108 without a remainder.

1,2,4,2027,4054,8108

Factors of 2633

List of positive integer factors of 2633 that divides 2633 without a remainder.

1,2633

Greatest Common Factor

We found the factors 8108,2633 . The biggest common factor number is the GCF number.
So the greatest common factor 8108,2633 is 1.

Lets's calculate LCM of 435,9315

3 435, 9315
5 145, 3105
29, 621

∴ So the LCM of the given numbers is 3 x 5 x 29 x 621 = 270135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270135

Therefore, the GCF of Fractions 8108/435,2633/9315 is 1/270135

Least Common Multiple of 435,9315 with GCF Formula

Least Common Multiple of 435,9315 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 435,9315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,9315) = 15

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

GCF(435,9315) x common factors =15 x 1 = 15

LCM(435,9315) = ( 435 × 9315 ) / 15

LCM(435,9315) = 4052025 / 15

LCM(435,9315) = 270135


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 8108/435, 2633/9315

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 8108/435, 2633/9315?

Answer: GCF of Numerators as per given numbers 8108/435, 2633/9315 is

GCF of Numerators i.e. for 8108,2633 is 1

LCM of denominators i.e. for 435,9315 is 270135.

Thus, GCF of Fractions is 1/270135.Finally, GCF of Fractions for 8108/435, 2633/9315 is 1/270135.