Greatest Common Factor of 6617/42, 3271/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6617/42, 3271/122

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 6617/42,3271/122

Given fractions are 6617/42,3271/122

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 6617,3271

Greatest Common Factor of Numerators i.e. GCF of 6617,3271 is 1 .

LCM of Denominators means LCM of 42,122 as per the given fractions.

LCM of 42,122 is 2562 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6617,3271

GCF of Fractions 6617/42,3271/122 is 1/2562

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

Greatest Common Factor of 6617,3271 By Matching Biggest Common Factor Method

Greatest Common Factor of 6617,3271 By Matching Biggest Common Factor Method

Factors of 6617

List of positive integer factors of 6617 that divides 6617 without a remainder.

1,13,509,6617

Factors of 3271

List of positive integer factors of 3271 that divides 3271 without a remainder.

1,3271

Greatest Common Factor

We found the factors 6617,3271 . The biggest common factor number is the GCF number.
So the greatest common factor 6617,3271 is 1.

Lets's calculate LCM of 42,122

2 42, 122
21, 61

∴ So the LCM of the given numbers is 2 x 21 x 61 = 2562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2562

Therefore, the GCF of Fractions 6617/42,3271/122 is 1/2562

Least Common Multiple of 42,122 with GCF Formula

Least Common Multiple of 42,122 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 42,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,122) = 2

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

GCF(42,122) x common factors =2 x 1 = 2

LCM(42,122) = ( 42 × 122 ) / 2

LCM(42,122) = 5124 / 2

LCM(42,122) = 2562


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 6617/42, 3271/122

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 6617/42, 3271/122?

Answer: GCF of Numerators as per given numbers 6617/42, 3271/122 is

GCF of Numerators i.e. for 6617,3271 is 1

LCM of denominators i.e. for 42,122 is 2562.

Thus, GCF of Fractions is 1/2562.Finally, GCF of Fractions for 6617/42, 3271/122 is 1/2562.