Greatest Common Factor of 3123/157, 8686/2510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3123/157, 8686/2510

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 3123/157,8686/2510

Given fractions are 3123/157,8686/2510

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 3123,8686

Greatest Common Factor of Numerators i.e. GCF of 3123,8686 is 1 .

LCM of Denominators means LCM of 157,2510 as per the given fractions.

LCM of 157,2510 is 394070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3123,8686

GCF of Fractions 3123/157,8686/2510 is 1/394070

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

Greatest Common Factor of 3123,8686 By Matching Biggest Common Factor Method

Greatest Common Factor of 3123,8686 By Matching Biggest Common Factor Method

Factors of 3123

List of positive integer factors of 3123 that divides 3123 without a remainder.

1,3,9,347,1041,3123

Factors of 8686

List of positive integer factors of 8686 that divides 8686 without a remainder.

1,2,43,86,101,202,4343,8686

Greatest Common Factor

We found the factors 3123,8686 . The biggest common factor number is the GCF number.
So the greatest common factor 3123,8686 is 1.

Lets's calculate LCM of 157,2510

Given numbers has no common factors except 1. So, there LCM is their product i.e 394070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/394070

Therefore, the GCF of Fractions 3123/157,8686/2510 is 1/394070

Least Common Multiple of 157,2510 with GCF Formula

Least Common Multiple of 157,2510 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 157,2510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,2510) = 1

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

GCF(157,2510) x common factors =1 x 1 = 1

LCM(157,2510) = ( 157 × 2510 ) / 1

LCM(157,2510) = 394070 / 1

LCM(157,2510) = 394070


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 3123/157, 8686/2510

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 3123/157, 8686/2510?

Answer: GCF of Numerators as per given numbers 3123/157, 8686/2510 is

GCF of Numerators i.e. for 3123,8686 is 1

LCM of denominators i.e. for 157,2510 is 394070.

Thus, GCF of Fractions is 1/394070.Finally, GCF of Fractions for 3123/157, 8686/2510 is 1/394070.