Greatest Common Factor of 1/60, 86/87, 34/220, 658/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/60, 86/87, 34/220, 658/171

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 1/60,86/87,34/220,658/171

Given fractions are 1/60,86/87,34/220,658/171

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 1,86,34,658

Greatest Common Factor of Numerators i.e. GCF of 1,86,34,658 is 1 .

LCM of Denominators means LCM of 60,87,220,171 as per the given fractions.

LCM of 60,87,220,171 is 1090980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,86,34,658

GCF of Fractions 1/60,86/87,34/220,658/171 is 1/1090980

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

Greatest Common Factor of 1,86,34,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,86,34,658 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 86

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

1,2,43,86

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 1,86,34,658 . The biggest common factor number is the GCF number.
So the greatest common factor 1,86,34,658 is 1.

Lets's calculate LCM of 60,87,220,171

2 60, 87, 220, 171
2 30, 87, 110, 171
3 15, 87, 55, 171
5 5, 29, 55, 57
1, 29, 11, 57

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 29 x 11 x 57 = 1090980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1090980

Therefore, the GCF of Fractions 1/60,86/87,34/220,658/171 is 1/1090980

Least Common Multiple of 60,87,220,171 with GCF Formula

Least Common Multiple of 60,87,220,171 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 60,87,220,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,87,220,171) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(60,87,220,171) x common factors =1 x 180 = 180

LCM(60,87,220,171) = ( 60 × 87 × 220 × 171 ) / 180

LCM(60,87,220,171) = 196376400 / 180

LCM(60,87,220,171) = 1090980


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 1/60, 86/87, 34/220, 658/171

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 1/60, 86/87, 34/220, 658/171?

Answer: GCF of Numerators as per given numbers 1/60, 86/87, 34/220, 658/171 is

GCF of Numerators i.e. for 1,86,34,658 is 1

LCM of denominators i.e. for 60,87,220,171 is 1090980.

Thus, GCF of Fractions is 1/1090980.Finally, GCF of Fractions for 1/60, 86/87, 34/220, 658/171 is 1/1090980.