Greatest Common Factor of 106/79, 697/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 106/79, 697/276

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 106/79,697/276

Given fractions are 106/79,697/276

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 106,697

Greatest Common Factor of Numerators i.e. GCF of 106,697 is 1 .

LCM of Denominators means LCM of 79,276 as per the given fractions.

LCM of 79,276 is 21804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 106,697

GCF of Fractions 106/79,697/276 is 1/21804

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

Greatest Common Factor of 106,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,697 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 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 106,697 . The biggest common factor number is the GCF number.
So the greatest common factor 106,697 is 1.

Lets's calculate LCM of 79,276

Given numbers has no common factors except 1. So, there LCM is their product i.e 21804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21804

Therefore, the GCF of Fractions 106/79,697/276 is 1/21804

Least Common Multiple of 79,276 with GCF Formula

Least Common Multiple of 79,276 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 79,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,276) = 1

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

GCF(79,276) x common factors =1 x 1 = 1

LCM(79,276) = ( 79 × 276 ) / 1

LCM(79,276) = 21804 / 1

LCM(79,276) = 21804


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 106/79, 697/276

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 106/79, 697/276?

Answer: GCF of Numerators as per given numbers 106/79, 697/276 is

GCF of Numerators i.e. for 106,697 is 1

LCM of denominators i.e. for 79,276 is 21804.

Thus, GCF of Fractions is 1/21804.Finally, GCF of Fractions for 106/79, 697/276 is 1/21804.