Greatest Common Factor of 133/59, 962/5173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 133/59, 962/5173

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 133/59,962/5173

Given fractions are 133/59,962/5173

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 133,962

Greatest Common Factor of Numerators i.e. GCF of 133,962 is 1 .

LCM of Denominators means LCM of 59,5173 as per the given fractions.

LCM of 59,5173 is 305207 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 133,962

GCF of Fractions 133/59,962/5173 is 1/305207

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

Greatest Common Factor of 133,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,962 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 133,962 . The biggest common factor number is the GCF number.
So the greatest common factor 133,962 is 1.

Lets's calculate LCM of 59,5173

Given numbers has no common factors except 1. So, there LCM is their product i.e 305207

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305207

Therefore, the GCF of Fractions 133/59,962/5173 is 1/305207

Least Common Multiple of 59,5173 with GCF Formula

Least Common Multiple of 59,5173 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 59,5173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,5173) = 1

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

GCF(59,5173) x common factors =1 x 1 = 1

LCM(59,5173) = ( 59 × 5173 ) / 1

LCM(59,5173) = 305207 / 1

LCM(59,5173) = 305207


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 133/59, 962/5173

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 133/59, 962/5173?

Answer: GCF of Numerators as per given numbers 133/59, 962/5173 is

GCF of Numerators i.e. for 133,962 is 1

LCM of denominators i.e. for 59,5173 is 305207.

Thus, GCF of Fractions is 1/305207.Finally, GCF of Fractions for 133/59, 962/5173 is 1/305207.