Greatest Common Factor of 4531/481, 6884/1409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4531/481, 6884/1409

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 4531/481,6884/1409

Given fractions are 4531/481,6884/1409

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 4531,6884

Greatest Common Factor of Numerators i.e. GCF of 4531,6884 is 1 .

LCM of Denominators means LCM of 481,1409 as per the given fractions.

LCM of 481,1409 is 677729 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4531,6884

GCF of Fractions 4531/481,6884/1409 is 1/677729

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

Greatest Common Factor of 4531,6884 By Matching Biggest Common Factor Method

Greatest Common Factor of 4531,6884 By Matching Biggest Common Factor Method

Factors of 4531

List of positive integer factors of 4531 that divides 4531 without a remainder.

1,23,197,4531

Factors of 6884

List of positive integer factors of 6884 that divides 6884 without a remainder.

1,2,4,1721,3442,6884

Greatest Common Factor

We found the factors 4531,6884 . The biggest common factor number is the GCF number.
So the greatest common factor 4531,6884 is 1.

Lets's calculate LCM of 481,1409

Given numbers has no common factors except 1. So, there LCM is their product i.e 677729

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/677729

Therefore, the GCF of Fractions 4531/481,6884/1409 is 1/677729

Least Common Multiple of 481,1409 with GCF Formula

Least Common Multiple of 481,1409 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 481,1409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,1409) = 1

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

GCF(481,1409) x common factors =1 x 1 = 1

LCM(481,1409) = ( 481 × 1409 ) / 1

LCM(481,1409) = 677729 / 1

LCM(481,1409) = 677729


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 4531/481, 6884/1409

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 4531/481, 6884/1409?

Answer: GCF of Numerators as per given numbers 4531/481, 6884/1409 is

GCF of Numerators i.e. for 4531,6884 is 1

LCM of denominators i.e. for 481,1409 is 677729.

Thus, GCF of Fractions is 1/677729.Finally, GCF of Fractions for 4531/481, 6884/1409 is 1/677729.