Greatest Common Factor of 6077/332, 1453/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6077/332, 1453/720

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 6077/332,1453/720

Given fractions are 6077/332,1453/720

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 6077,1453

Greatest Common Factor of Numerators i.e. GCF of 6077,1453 is 1 .

LCM of Denominators means LCM of 332,720 as per the given fractions.

LCM of 332,720 is 59760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6077,1453

GCF of Fractions 6077/332,1453/720 is 1/59760

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

Greatest Common Factor of 6077,1453 By Matching Biggest Common Factor Method

Greatest Common Factor of 6077,1453 By Matching Biggest Common Factor Method

Factors of 6077

List of positive integer factors of 6077 that divides 6077 without a remainder.

1,59,103,6077

Factors of 1453

List of positive integer factors of 1453 that divides 1453 without a remainder.

1,1453

Greatest Common Factor

We found the factors 6077,1453 . The biggest common factor number is the GCF number.
So the greatest common factor 6077,1453 is 1.

Lets's calculate LCM of 332,720

2 332, 720
2 166, 360
83, 180

∴ So the LCM of the given numbers is 2 x 2 x 83 x 180 = 59760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59760

Therefore, the GCF of Fractions 6077/332,1453/720 is 1/59760

Least Common Multiple of 332,720 with GCF Formula

Least Common Multiple of 332,720 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 332,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,720) = 4

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

GCF(332,720) x common factors =4 x 1 = 4

LCM(332,720) = ( 332 × 720 ) / 4

LCM(332,720) = 239040 / 4

LCM(332,720) = 59760


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 6077/332, 1453/720

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 6077/332, 1453/720?

Answer: GCF of Numerators as per given numbers 6077/332, 1453/720 is

GCF of Numerators i.e. for 6077,1453 is 1

LCM of denominators i.e. for 332,720 is 59760.

Thus, GCF of Fractions is 1/59760.Finally, GCF of Fractions for 6077/332, 1453/720 is 1/59760.