Greatest Common Factor of 1396/970, 9106/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1396/970, 9106/597

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 1396/970,9106/597

Given fractions are 1396/970,9106/597

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 1396,9106

Greatest Common Factor of Numerators i.e. GCF of 1396,9106 is 2 .

LCM of Denominators means LCM of 970,597 as per the given fractions.

LCM of 970,597 is 579090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1396,9106

GCF of Fractions 1396/970,9106/597 is 2/579090

2 1396, 9106
698, 4553

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

Greatest Common Factor of 1396,9106 By Matching Biggest Common Factor Method

Greatest Common Factor of 1396,9106 By Matching Biggest Common Factor Method

Factors of 1396

List of positive integer factors of 1396 that divides 1396 without a remainder.

1,2,4,349,698,1396

Factors of 9106

List of positive integer factors of 9106 that divides 9106 without a remainder.

1,2,29,58,157,314,4553,9106

Greatest Common Factor

We found the factors 1396,9106 . The biggest common factor number is the GCF number.
So the greatest common factor 1396,9106 is 2.

Lets's calculate LCM of 970,597

Given numbers has no common factors except 1. So, there LCM is their product i.e 579090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/579090

Therefore, the GCF of Fractions 1396/970,9106/597 is 2/579090

Least Common Multiple of 970,597 with GCF Formula

Least Common Multiple of 970,597 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 970,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,597) = 1

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

GCF(970,597) x common factors =1 x 1 = 1

LCM(970,597) = ( 970 × 597 ) / 1

LCM(970,597) = 579090 / 1

LCM(970,597) = 579090


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 1396/970, 9106/597

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 1396/970, 9106/597?

Answer: GCF of Numerators as per given numbers 1396/970, 9106/597 is

GCF of Numerators i.e. for 1396,9106 is 2

LCM of denominators i.e. for 970,597 is 579090.

Thus, GCF of Fractions is 2/579090.Finally, GCF of Fractions for 1396/970, 9106/597 is 2/579090.