Greatest Common Factor of 4315/288, 6447/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4315/288, 6447/577

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 4315/288,6447/577

Given fractions are 4315/288,6447/577

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 4315,6447

Greatest Common Factor of Numerators i.e. GCF of 4315,6447 is 1 .

LCM of Denominators means LCM of 288,577 as per the given fractions.

LCM of 288,577 is 166176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4315,6447

GCF of Fractions 4315/288,6447/577 is 1/166176

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

Greatest Common Factor of 4315,6447 By Matching Biggest Common Factor Method

Greatest Common Factor of 4315,6447 By Matching Biggest Common Factor Method

Factors of 4315

List of positive integer factors of 4315 that divides 4315 without a remainder.

1,5,863,4315

Factors of 6447

List of positive integer factors of 6447 that divides 6447 without a remainder.

1,3,7,21,307,921,2149,6447

Greatest Common Factor

We found the factors 4315,6447 . The biggest common factor number is the GCF number.
So the greatest common factor 4315,6447 is 1.

Lets's calculate LCM of 288,577

Given numbers has no common factors except 1. So, there LCM is their product i.e 166176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166176

Therefore, the GCF of Fractions 4315/288,6447/577 is 1/166176

Least Common Multiple of 288,577 with GCF Formula

Least Common Multiple of 288,577 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 288,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,577) = 1

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

GCF(288,577) x common factors =1 x 1 = 1

LCM(288,577) = ( 288 × 577 ) / 1

LCM(288,577) = 166176 / 1

LCM(288,577) = 166176


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 4315/288, 6447/577

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 4315/288, 6447/577?

Answer: GCF of Numerators as per given numbers 4315/288, 6447/577 is

GCF of Numerators i.e. for 4315,6447 is 1

LCM of denominators i.e. for 288,577 is 166176.

Thus, GCF of Fractions is 1/166176.Finally, GCF of Fractions for 4315/288, 6447/577 is 1/166176.