Greatest Common Factor of 164/268, 1097/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 164/268, 1097/582

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 164/268,1097/582

Given fractions are 164/268,1097/582

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 164,1097

Greatest Common Factor of Numerators i.e. GCF of 164,1097 is 1 .

LCM of Denominators means LCM of 268,582 as per the given fractions.

LCM of 268,582 is 77988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 164,1097

GCF of Fractions 164/268,1097/582 is 1/77988

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

Greatest Common Factor of 164,1097 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,1097 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 1097

List of positive integer factors of 1097 that divides 1097 without a remainder.

1,1097

Greatest Common Factor

We found the factors 164,1097 . The biggest common factor number is the GCF number.
So the greatest common factor 164,1097 is 1.

Lets's calculate LCM of 268,582

2 268, 582
134, 291

∴ So the LCM of the given numbers is 2 x 134 x 291 = 77988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77988

Therefore, the GCF of Fractions 164/268,1097/582 is 1/77988

Least Common Multiple of 268,582 with GCF Formula

Least Common Multiple of 268,582 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 268,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,582) = 2

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

GCF(268,582) x common factors =2 x 1 = 2

LCM(268,582) = ( 268 × 582 ) / 2

LCM(268,582) = 155976 / 2

LCM(268,582) = 77988


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 164/268, 1097/582

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 164/268, 1097/582?

Answer: GCF of Numerators as per given numbers 164/268, 1097/582 is

GCF of Numerators i.e. for 164,1097 is 1

LCM of denominators i.e. for 268,582 is 77988.

Thus, GCF of Fractions is 1/77988.Finally, GCF of Fractions for 164/268, 1097/582 is 1/77988.