Greatest Common Factor of 961/29, 667/3345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 961/29, 667/3345

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 961/29,667/3345

Given fractions are 961/29,667/3345

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 961,667

Greatest Common Factor of Numerators i.e. GCF of 961,667 is 1 .

LCM of Denominators means LCM of 29,3345 as per the given fractions.

LCM of 29,3345 is 97005 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 961,667

GCF of Fractions 961/29,667/3345 is 1/97005

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

Greatest Common Factor of 961,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,667 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 961,667 . The biggest common factor number is the GCF number.
So the greatest common factor 961,667 is 1.

Lets's calculate LCM of 29,3345

Given numbers has no common factors except 1. So, there LCM is their product i.e 97005

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97005

Therefore, the GCF of Fractions 961/29,667/3345 is 1/97005

Least Common Multiple of 29,3345 with GCF Formula

Least Common Multiple of 29,3345 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 29,3345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,3345) = 1

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

GCF(29,3345) x common factors =1 x 1 = 1

LCM(29,3345) = ( 29 × 3345 ) / 1

LCM(29,3345) = 97005 / 1

LCM(29,3345) = 97005


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 961/29, 667/3345

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 961/29, 667/3345?

Answer: GCF of Numerators as per given numbers 961/29, 667/3345 is

GCF of Numerators i.e. for 961,667 is 1

LCM of denominators i.e. for 29,3345 is 97005.

Thus, GCF of Fractions is 1/97005.Finally, GCF of Fractions for 961/29, 667/3345 is 1/97005.