Greatest Common Factor of 75/749, 87/860, 750/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/749, 87/860, 750/289

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 75/749,87/860,750/289

Given fractions are 75/749,87/860,750/289

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 75,87,750

Greatest Common Factor of Numerators i.e. GCF of 75,87,750 is 3 .

LCM of Denominators means LCM of 749,860,289 as per the given fractions.

LCM of 749,860,289 is 186156460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,87,750

GCF of Fractions 75/749,87/860,750/289 is 3/186156460

3 75, 87, 750
25, 29, 250

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

Greatest Common Factor of 75,87,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,87,750 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

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 75,87,750 . The biggest common factor number is the GCF number.
So the greatest common factor 75,87,750 is 3.

Lets's calculate LCM of 749,860,289

Given numbers has no common factors except 1. So, there LCM is their product i.e 186156460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/186156460

Therefore, the GCF of Fractions 75/749,87/860,750/289 is 3/186156460

Least Common Multiple of 749,860,289 with GCF Formula

Least Common Multiple of 749,860,289 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 749,860,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,860,289) = 1

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

GCF(749,860,289) x common factors =1 x 1 = 1

LCM(749,860,289) = ( 749 × 860 × 289 ) / 1

LCM(749,860,289) = 186156460 / 1

LCM(749,860,289) = 186156460


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 75/749, 87/860, 750/289

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 75/749, 87/860, 750/289?

Answer: GCF of Numerators as per given numbers 75/749, 87/860, 750/289 is

GCF of Numerators i.e. for 75,87,750 is 3

LCM of denominators i.e. for 749,860,289 is 186156460.

Thus, GCF of Fractions is 3/186156460.Finally, GCF of Fractions for 75/749, 87/860, 750/289 is 3/186156460.