Greatest Common Factor of 5997/88, 1461/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5997/88, 1461/576

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 5997/88,1461/576

Given fractions are 5997/88,1461/576

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 5997,1461

Greatest Common Factor of Numerators i.e. GCF of 5997,1461 is 3 .

LCM of Denominators means LCM of 88,576 as per the given fractions.

LCM of 88,576 is 6336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5997,1461

GCF of Fractions 5997/88,1461/576 is 3/6336

3 5997, 1461
1999, 487

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5997,1461 By Matching Biggest Common Factor Method

Greatest Common Factor of 5997,1461 By Matching Biggest Common Factor Method

Factors of 5997

List of positive integer factors of 5997 that divides 5997 without a remainder.

1,3,1999,5997

Factors of 1461

List of positive integer factors of 1461 that divides 1461 without a remainder.

1,3,487,1461

Greatest Common Factor

We found the factors 5997,1461 . The biggest common factor number is the GCF number.
So the greatest common factor 5997,1461 is 3.

Lets's calculate LCM of 88,576

2 88, 576
2 44, 288
2 22, 144
11, 72

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 72 = 6336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6336

Therefore, the GCF of Fractions 5997/88,1461/576 is 3/6336

Least Common Multiple of 88,576 with GCF Formula

Least Common Multiple of 88,576 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 88,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,576) = 8

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

GCF(88,576) x common factors =8 x 1 = 8

LCM(88,576) = ( 88 × 576 ) / 8

LCM(88,576) = 50688 / 8

LCM(88,576) = 6336


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 5997/88, 1461/576

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 5997/88, 1461/576?

Answer: GCF of Numerators as per given numbers 5997/88, 1461/576 is

GCF of Numerators i.e. for 5997,1461 is 3

LCM of denominators i.e. for 88,576 is 6336.

Thus, GCF of Fractions is 3/6336.Finally, GCF of Fractions for 5997/88, 1461/576 is 3/6336.