Greatest Common Factor of 51/171, 661/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/171, 661/313

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 51/171,661/313

Given fractions are 51/171,661/313

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 51,661

Greatest Common Factor of Numerators i.e. GCF of 51,661 is 1 .

LCM of Denominators means LCM of 171,313 as per the given fractions.

LCM of 171,313 is 53523 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,661

GCF of Fractions 51/171,661/313 is 1/53523

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

Greatest Common Factor of 51,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,661 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 51,661 . The biggest common factor number is the GCF number.
So the greatest common factor 51,661 is 1.

Lets's calculate LCM of 171,313

Given numbers has no common factors except 1. So, there LCM is their product i.e 53523

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53523

Therefore, the GCF of Fractions 51/171,661/313 is 1/53523

Least Common Multiple of 171,313 with GCF Formula

Least Common Multiple of 171,313 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 171,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,313) = 1

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

GCF(171,313) x common factors =1 x 1 = 1

LCM(171,313) = ( 171 × 313 ) / 1

LCM(171,313) = 53523 / 1

LCM(171,313) = 53523


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 51/171, 661/313

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 51/171, 661/313?

Answer: GCF of Numerators as per given numbers 51/171, 661/313 is

GCF of Numerators i.e. for 51,661 is 1

LCM of denominators i.e. for 171,313 is 53523.

Thus, GCF of Fractions is 1/53523.Finally, GCF of Fractions for 51/171, 661/313 is 1/53523.