Greatest Common Factor of 4553/120, 6679/1566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4553/120, 6679/1566

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 4553/120,6679/1566

Given fractions are 4553/120,6679/1566

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 4553,6679

Greatest Common Factor of Numerators i.e. GCF of 4553,6679 is 1 .

LCM of Denominators means LCM of 120,1566 as per the given fractions.

LCM of 120,1566 is 31320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4553,6679

GCF of Fractions 4553/120,6679/1566 is 1/31320

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

Greatest Common Factor of 4553,6679 By Matching Biggest Common Factor Method

Greatest Common Factor of 4553,6679 By Matching Biggest Common Factor Method

Factors of 4553

List of positive integer factors of 4553 that divides 4553 without a remainder.

1,29,157,4553

Factors of 6679

List of positive integer factors of 6679 that divides 6679 without a remainder.

1,6679

Greatest Common Factor

We found the factors 4553,6679 . The biggest common factor number is the GCF number.
So the greatest common factor 4553,6679 is 1.

Lets's calculate LCM of 120,1566

2 120, 1566
3 60, 783
20, 261

∴ So the LCM of the given numbers is 2 x 3 x 20 x 261 = 31320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31320

Therefore, the GCF of Fractions 4553/120,6679/1566 is 1/31320

Least Common Multiple of 120,1566 with GCF Formula

Least Common Multiple of 120,1566 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 120,1566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,1566) = 6

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

GCF(120,1566) x common factors =6 x 1 = 6

LCM(120,1566) = ( 120 × 1566 ) / 6

LCM(120,1566) = 187920 / 6

LCM(120,1566) = 31320


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 4553/120, 6679/1566

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 4553/120, 6679/1566?

Answer: GCF of Numerators as per given numbers 4553/120, 6679/1566 is

GCF of Numerators i.e. for 4553,6679 is 1

LCM of denominators i.e. for 120,1566 is 31320.

Thus, GCF of Fractions is 1/31320.Finally, GCF of Fractions for 4553/120, 6679/1566 is 1/31320.