Greatest Common Factor of 5/67, 75/61, 81/257, 951/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/67, 75/61, 81/257, 951/561

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 5/67,75/61,81/257,951/561

Given fractions are 5/67,75/61,81/257,951/561

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 5,75,81,951

Greatest Common Factor of Numerators i.e. GCF of 5,75,81,951 is 1 .

LCM of Denominators means LCM of 67,61,257,561 as per the given fractions.

LCM of 67,61,257,561 is 589251399 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,75,81,951

GCF of Fractions 5/67,75/61,81/257,951/561 is 1/589251399

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

Greatest Common Factor of 5,75,81,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,75,81,951 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 5,75,81,951 . The biggest common factor number is the GCF number.
So the greatest common factor 5,75,81,951 is 1.

Lets's calculate LCM of 67,61,257,561

Given numbers has no common factors except 1. So, there LCM is their product i.e 589251399

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/589251399

Therefore, the GCF of Fractions 5/67,75/61,81/257,951/561 is 1/589251399

Least Common Multiple of 67,61,257,561 with GCF Formula

Least Common Multiple of 67,61,257,561 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 67,61,257,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,61,257,561) = 1

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

GCF(67,61,257,561) x common factors =1 x 1 = 1

LCM(67,61,257,561) = ( 67 × 61 × 257 × 561 ) / 1

LCM(67,61,257,561) = 589251399 / 1

LCM(67,61,257,561) = 589251399


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 5/67, 75/61, 81/257, 951/561

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 5/67, 75/61, 81/257, 951/561?

Answer: GCF of Numerators as per given numbers 5/67, 75/61, 81/257, 951/561 is

GCF of Numerators i.e. for 5,75,81,951 is 1

LCM of denominators i.e. for 67,61,257,561 is 589251399.

Thus, GCF of Fractions is 1/589251399.Finally, GCF of Fractions for 5/67, 75/61, 81/257, 951/561 is 1/589251399.