Greatest Common Factor of 6917/359, 4221/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6917/359, 4221/180

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 6917/359,4221/180

Given fractions are 6917/359,4221/180

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 6917,4221

Greatest Common Factor of Numerators i.e. GCF of 6917,4221 is 1 .

LCM of Denominators means LCM of 359,180 as per the given fractions.

LCM of 359,180 is 64620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6917,4221

GCF of Fractions 6917/359,4221/180 is 1/64620

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

Greatest Common Factor of 6917,4221 By Matching Biggest Common Factor Method

Greatest Common Factor of 6917,4221 By Matching Biggest Common Factor Method

Factors of 6917

List of positive integer factors of 6917 that divides 6917 without a remainder.

1,6917

Factors of 4221

List of positive integer factors of 4221 that divides 4221 without a remainder.

1,3,7,9,21,63,67,201,469,603,1407,4221

Greatest Common Factor

We found the factors 6917,4221 . The biggest common factor number is the GCF number.
So the greatest common factor 6917,4221 is 1.

Lets's calculate LCM of 359,180

Given numbers has no common factors except 1. So, there LCM is their product i.e 64620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64620

Therefore, the GCF of Fractions 6917/359,4221/180 is 1/64620

Least Common Multiple of 359,180 with GCF Formula

Least Common Multiple of 359,180 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 359,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,180) = 1

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

GCF(359,180) x common factors =1 x 1 = 1

LCM(359,180) = ( 359 × 180 ) / 1

LCM(359,180) = 64620 / 1

LCM(359,180) = 64620


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 6917/359, 4221/180

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 6917/359, 4221/180?

Answer: GCF of Numerators as per given numbers 6917/359, 4221/180 is

GCF of Numerators i.e. for 6917,4221 is 1

LCM of denominators i.e. for 359,180 is 64620.

Thus, GCF of Fractions is 1/64620.Finally, GCF of Fractions for 6917/359, 4221/180 is 1/64620.