Greatest Common Factor of 59/25, 60/37, 708/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/25, 60/37, 708/166

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 59/25,60/37,708/166

Given fractions are 59/25,60/37,708/166

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 59,60,708

Greatest Common Factor of Numerators i.e. GCF of 59,60,708 is 1 .

LCM of Denominators means LCM of 25,37,166 as per the given fractions.

LCM of 25,37,166 is 153550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,60,708

GCF of Fractions 59/25,60/37,708/166 is 1/153550

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

Greatest Common Factor of 59,60,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,60,708 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 59,60,708 . The biggest common factor number is the GCF number.
So the greatest common factor 59,60,708 is 1.

Lets's calculate LCM of 25,37,166

Given numbers has no common factors except 1. So, there LCM is their product i.e 153550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153550

Therefore, the GCF of Fractions 59/25,60/37,708/166 is 1/153550

Least Common Multiple of 25,37,166 with GCF Formula

Least Common Multiple of 25,37,166 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 25,37,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,37,166) = 1

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

GCF(25,37,166) x common factors =1 x 1 = 1

LCM(25,37,166) = ( 25 × 37 × 166 ) / 1

LCM(25,37,166) = 153550 / 1

LCM(25,37,166) = 153550


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 59/25, 60/37, 708/166

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 59/25, 60/37, 708/166?

Answer: GCF of Numerators as per given numbers 59/25, 60/37, 708/166 is

GCF of Numerators i.e. for 59,60,708 is 1

LCM of denominators i.e. for 25,37,166 is 153550.

Thus, GCF of Fractions is 1/153550.Finally, GCF of Fractions for 59/25, 60/37, 708/166 is 1/153550.