Greatest Common Factor of 672/18, 175/87, 750/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 672/18, 175/87, 750/747

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 672/18,175/87,750/747

Given fractions are 672/18,175/87,750/747

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 672,175,750

Greatest Common Factor of Numerators i.e. GCF of 672,175,750 is 1 .

LCM of Denominators means LCM of 18,87,747 as per the given fractions.

LCM of 18,87,747 is 43326 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 672,175,750

GCF of Fractions 672/18,175/87,750/747 is 1/43326

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

Greatest Common Factor of 672,175,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,175,750 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 672,175,750 . The biggest common factor number is the GCF number.
So the greatest common factor 672,175,750 is 1.

Lets's calculate LCM of 18,87,747

3 18, 87, 747
3 6, 29, 249
2, 29, 83

∴ So the LCM of the given numbers is 3 x 3 x 2 x 29 x 83 = 43326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43326

Therefore, the GCF of Fractions 672/18,175/87,750/747 is 1/43326

Least Common Multiple of 18,87,747 with GCF Formula

Least Common Multiple of 18,87,747 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 18,87,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,87,747) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(18,87,747) x common factors =3 x 9 = 27

LCM(18,87,747) = ( 18 × 87 × 747 ) / 27

LCM(18,87,747) = 1169802 / 27

LCM(18,87,747) = 43326


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 672/18, 175/87, 750/747

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 672/18, 175/87, 750/747?

Answer: GCF of Numerators as per given numbers 672/18, 175/87, 750/747 is

GCF of Numerators i.e. for 672,175,750 is 1

LCM of denominators i.e. for 18,87,747 is 43326.

Thus, GCF of Fractions is 1/43326.Finally, GCF of Fractions for 672/18, 175/87, 750/747 is 1/43326.