Greatest Common Factor of 97/57, 86/66, 178/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/57, 86/66, 178/266

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 97/57,86/66,178/266

Given fractions are 97/57,86/66,178/266

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 97,86,178

Greatest Common Factor of Numerators i.e. GCF of 97,86,178 is 1 .

LCM of Denominators means LCM of 57,66,266 as per the given fractions.

LCM of 57,66,266 is 8778 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,86,178

GCF of Fractions 97/57,86/66,178/266 is 1/8778

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

Greatest Common Factor of 97,86,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,86,178 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 97,86,178 . The biggest common factor number is the GCF number.
So the greatest common factor 97,86,178 is 1.

Lets's calculate LCM of 57,66,266

2 57, 66, 266
3 57, 33, 133
19 19, 11, 133
1, 11, 7

∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 11 x 7 = 8778

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8778

Therefore, the GCF of Fractions 97/57,86/66,178/266 is 1/8778

Least Common Multiple of 57,66,266 with GCF Formula

Least Common Multiple of 57,66,266 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 57,66,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,66,266) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(57,66,266) x common factors =1 x 114 = 114

LCM(57,66,266) = ( 57 × 66 × 266 ) / 114

LCM(57,66,266) = 1000692 / 114

LCM(57,66,266) = 8778


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 97/57, 86/66, 178/266

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 97/57, 86/66, 178/266?

Answer: GCF of Numerators as per given numbers 97/57, 86/66, 178/266 is

GCF of Numerators i.e. for 97,86,178 is 1

LCM of denominators i.e. for 57,66,266 is 8778.

Thus, GCF of Fractions is 1/8778.Finally, GCF of Fractions for 97/57, 86/66, 178/266 is 1/8778.