Greatest Common Factor of 3112/142, 7091/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3112/142, 7091/367

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 3112/142,7091/367

Given fractions are 3112/142,7091/367

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 3112,7091

Greatest Common Factor of Numerators i.e. GCF of 3112,7091 is 1 .

LCM of Denominators means LCM of 142,367 as per the given fractions.

LCM of 142,367 is 52114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3112,7091

GCF of Fractions 3112/142,7091/367 is 1/52114

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

Greatest Common Factor of 3112,7091 By Matching Biggest Common Factor Method

Greatest Common Factor of 3112,7091 By Matching Biggest Common Factor Method

Factors of 3112

List of positive integer factors of 3112 that divides 3112 without a remainder.

1,2,4,8,389,778,1556,3112

Factors of 7091

List of positive integer factors of 7091 that divides 7091 without a remainder.

1,7,1013,7091

Greatest Common Factor

We found the factors 3112,7091 . The biggest common factor number is the GCF number.
So the greatest common factor 3112,7091 is 1.

Lets's calculate LCM of 142,367

Given numbers has no common factors except 1. So, there LCM is their product i.e 52114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52114

Therefore, the GCF of Fractions 3112/142,7091/367 is 1/52114

Least Common Multiple of 142,367 with GCF Formula

Least Common Multiple of 142,367 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 142,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,367) = 1

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

GCF(142,367) x common factors =1 x 1 = 1

LCM(142,367) = ( 142 × 367 ) / 1

LCM(142,367) = 52114 / 1

LCM(142,367) = 52114


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 3112/142, 7091/367

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 3112/142, 7091/367?

Answer: GCF of Numerators as per given numbers 3112/142, 7091/367 is

GCF of Numerators i.e. for 3112,7091 is 1

LCM of denominators i.e. for 142,367 is 52114.

Thus, GCF of Fractions is 1/52114.Finally, GCF of Fractions for 3112/142, 7091/367 is 1/52114.