Greatest Common Factor of 6882/421, 9469/3717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6882/421, 9469/3717

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 6882/421,9469/3717

Given fractions are 6882/421,9469/3717

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 6882,9469

Greatest Common Factor of Numerators i.e. GCF of 6882,9469 is 1 .

LCM of Denominators means LCM of 421,3717 as per the given fractions.

LCM of 421,3717 is 1564857 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6882,9469

GCF of Fractions 6882/421,9469/3717 is 1/1564857

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

Greatest Common Factor of 6882,9469 By Matching Biggest Common Factor Method

Greatest Common Factor of 6882,9469 By Matching Biggest Common Factor Method

Factors of 6882

List of positive integer factors of 6882 that divides 6882 without a remainder.

1,2,3,6,31,37,62,74,93,111,186,222,1147,2294,3441,6882

Factors of 9469

List of positive integer factors of 9469 that divides 9469 without a remainder.

1,17,557,9469

Greatest Common Factor

We found the factors 6882,9469 . The biggest common factor number is the GCF number.
So the greatest common factor 6882,9469 is 1.

Lets's calculate LCM of 421,3717

Given numbers has no common factors except 1. So, there LCM is their product i.e 1564857

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1564857

Therefore, the GCF of Fractions 6882/421,9469/3717 is 1/1564857

Least Common Multiple of 421,3717 with GCF Formula

Least Common Multiple of 421,3717 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 421,3717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,3717) = 1

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

GCF(421,3717) x common factors =1 x 1 = 1

LCM(421,3717) = ( 421 × 3717 ) / 1

LCM(421,3717) = 1564857 / 1

LCM(421,3717) = 1564857


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 6882/421, 9469/3717

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 6882/421, 9469/3717?

Answer: GCF of Numerators as per given numbers 6882/421, 9469/3717 is

GCF of Numerators i.e. for 6882,9469 is 1

LCM of denominators i.e. for 421,3717 is 1564857.

Thus, GCF of Fractions is 1/1564857.Finally, GCF of Fractions for 6882/421, 9469/3717 is 1/1564857.