Greatest Common Factor of 5987/752, 4097/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5987/752, 4097/172

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 5987/752,4097/172

Given fractions are 5987/752,4097/172

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 5987,4097

Greatest Common Factor of Numerators i.e. GCF of 5987,4097 is 1 .

LCM of Denominators means LCM of 752,172 as per the given fractions.

LCM of 752,172 is 32336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5987,4097

GCF of Fractions 5987/752,4097/172 is 1/32336

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

Greatest Common Factor of 5987,4097 By Matching Biggest Common Factor Method

Greatest Common Factor of 5987,4097 By Matching Biggest Common Factor Method

Factors of 5987

List of positive integer factors of 5987 that divides 5987 without a remainder.

1,5987

Factors of 4097

List of positive integer factors of 4097 that divides 4097 without a remainder.

1,17,241,4097

Greatest Common Factor

We found the factors 5987,4097 . The biggest common factor number is the GCF number.
So the greatest common factor 5987,4097 is 1.

Lets's calculate LCM of 752,172

2 752, 172
2 376, 86
188, 43

∴ So the LCM of the given numbers is 2 x 2 x 188 x 43 = 32336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32336

Therefore, the GCF of Fractions 5987/752,4097/172 is 1/32336

Least Common Multiple of 752,172 with GCF Formula

Least Common Multiple of 752,172 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 752,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,172) = 4

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

GCF(752,172) x common factors =4 x 1 = 4

LCM(752,172) = ( 752 × 172 ) / 4

LCM(752,172) = 129344 / 4

LCM(752,172) = 32336


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 5987/752, 4097/172

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 5987/752, 4097/172?

Answer: GCF of Numerators as per given numbers 5987/752, 4097/172 is

GCF of Numerators i.e. for 5987,4097 is 1

LCM of denominators i.e. for 752,172 is 32336.

Thus, GCF of Fractions is 1/32336.Finally, GCF of Fractions for 5987/752, 4097/172 is 1/32336.