Greatest Common Factor of 106/71, 112/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 106/71, 112/280

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 106/71,112/280

Given fractions are 106/71,112/280

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 106,112

Greatest Common Factor of Numerators i.e. GCF of 106,112 is 2 .

LCM of Denominators means LCM of 71,280 as per the given fractions.

LCM of 71,280 is 19880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 106,112

GCF of Fractions 106/71,112/280 is 2/19880

2 106, 112
53, 56

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 106,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,112 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 106,112 . The biggest common factor number is the GCF number.
So the greatest common factor 106,112 is 2.

Lets's calculate LCM of 71,280

Given numbers has no common factors except 1. So, there LCM is their product i.e 19880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19880

Therefore, the GCF of Fractions 106/71,112/280 is 2/19880

Least Common Multiple of 71,280 with GCF Formula

Least Common Multiple of 71,280 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 71,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,280) = 1

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

GCF(71,280) x common factors =1 x 1 = 1

LCM(71,280) = ( 71 × 280 ) / 1

LCM(71,280) = 19880 / 1

LCM(71,280) = 19880


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 106/71, 112/280

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 106/71, 112/280?

Answer: GCF of Numerators as per given numbers 106/71, 112/280 is

GCF of Numerators i.e. for 106,112 is 2

LCM of denominators i.e. for 71,280 is 19880.

Thus, GCF of Fractions is 2/19880.Finally, GCF of Fractions for 106/71, 112/280 is 2/19880.