Greatest Common Factor of 3139/49, 8600/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3139/49, 8600/251

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 3139/49,8600/251

Given fractions are 3139/49,8600/251

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 3139,8600

Greatest Common Factor of Numerators i.e. GCF of 3139,8600 is 43 .

LCM of Denominators means LCM of 49,251 as per the given fractions.

LCM of 49,251 is 12299 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3139,8600

GCF of Fractions 3139/49,8600/251 is 43/12299

43 3139, 8600
73, 200

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 3139,8600 By Matching Biggest Common Factor Method

Greatest Common Factor of 3139,8600 By Matching Biggest Common Factor Method

Factors of 3139

List of positive integer factors of 3139 that divides 3139 without a remainder.

1,43,73,3139

Factors of 8600

List of positive integer factors of 8600 that divides 8600 without a remainder.

1,2,4,5,8,10,20,25,40,43,50,86,100,172,200,215,344,430,860,1075,1720,2150,4300,8600

Greatest Common Factor

We found the factors 3139,8600 . The biggest common factor number is the GCF number.
So the greatest common factor 3139,8600 is 43.

Lets's calculate LCM of 49,251

Given numbers has no common factors except 1. So, there LCM is their product i.e 12299

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/12299

Therefore, the GCF of Fractions 3139/49,8600/251 is 43/12299

Least Common Multiple of 49,251 with GCF Formula

Least Common Multiple of 49,251 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 49,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,251) = 1

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

GCF(49,251) x common factors =1 x 1 = 1

LCM(49,251) = ( 49 × 251 ) / 1

LCM(49,251) = 12299 / 1

LCM(49,251) = 12299


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 3139/49, 8600/251

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 3139/49, 8600/251?

Answer: GCF of Numerators as per given numbers 3139/49, 8600/251 is

GCF of Numerators i.e. for 3139,8600 is 43

LCM of denominators i.e. for 49,251 is 12299.

Thus, GCF of Fractions is 43/12299.Finally, GCF of Fractions for 3139/49, 8600/251 is 43/12299.