Greatest Common Factor of 3367/67, 2956/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3367/67, 2956/747

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 3367/67,2956/747

Given fractions are 3367/67,2956/747

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 3367,2956

Greatest Common Factor of Numerators i.e. GCF of 3367,2956 is 1 .

LCM of Denominators means LCM of 67,747 as per the given fractions.

LCM of 67,747 is 50049 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3367,2956

GCF of Fractions 3367/67,2956/747 is 1/50049

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

Greatest Common Factor of 3367,2956 By Matching Biggest Common Factor Method

Greatest Common Factor of 3367,2956 By Matching Biggest Common Factor Method

Factors of 3367

List of positive integer factors of 3367 that divides 3367 without a remainder.

1,7,13,37,91,259,481,3367

Factors of 2956

List of positive integer factors of 2956 that divides 2956 without a remainder.

1,2,4,739,1478,2956

Greatest Common Factor

We found the factors 3367,2956 . The biggest common factor number is the GCF number.
So the greatest common factor 3367,2956 is 1.

Lets's calculate LCM of 67,747

Given numbers has no common factors except 1. So, there LCM is their product i.e 50049

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50049

Therefore, the GCF of Fractions 3367/67,2956/747 is 1/50049

Least Common Multiple of 67,747 with GCF Formula

Least Common Multiple of 67,747 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 67,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,747) = 1

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

GCF(67,747) x common factors =1 x 1 = 1

LCM(67,747) = ( 67 × 747 ) / 1

LCM(67,747) = 50049 / 1

LCM(67,747) = 50049


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 3367/67, 2956/747

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 3367/67, 2956/747?

Answer: GCF of Numerators as per given numbers 3367/67, 2956/747 is

GCF of Numerators i.e. for 3367,2956 is 1

LCM of denominators i.e. for 67,747 is 50049.

Thus, GCF of Fractions is 1/50049.Finally, GCF of Fractions for 3367/67, 2956/747 is 1/50049.