Greatest Common Factor of 433/60, 690/32, 750/85

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 433/60, 690/32, 750/85

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 433/60,690/32,750/85

Given fractions are 433/60,690/32,750/85

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 433,690,750

Greatest Common Factor of Numerators i.e. GCF of 433,690,750 is 1 .

LCM of Denominators means LCM of 60,32,85 as per the given fractions.

LCM of 60,32,85 is 8160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 433,690,750

GCF of Fractions 433/60,690/32,750/85 is 1/8160

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

Greatest Common Factor of 433,690,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,690,750 By Matching Biggest Common Factor Method

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

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 433,690,750 . The biggest common factor number is the GCF number.
So the greatest common factor 433,690,750 is 1.

Lets's calculate LCM of 60,32,85

2 60, 32, 85
2 30, 16, 85
5 15, 8, 85
3, 8, 17

∴ So the LCM of the given numbers is 2 x 2 x 5 x 3 x 8 x 17 = 8160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8160

Therefore, the GCF of Fractions 433/60,690/32,750/85 is 1/8160

Least Common Multiple of 60,32,85 with GCF Formula

Least Common Multiple of 60,32,85 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 60,32,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,32,85) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(60,32,85) x common factors =1 x 20 = 20

LCM(60,32,85) = ( 60 × 32 × 85 ) / 20

LCM(60,32,85) = 163200 / 20

LCM(60,32,85) = 8160


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 433/60, 690/32, 750/85

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 433/60, 690/32, 750/85?

Answer: GCF of Numerators as per given numbers 433/60, 690/32, 750/85 is

GCF of Numerators i.e. for 433,690,750 is 1

LCM of denominators i.e. for 60,32,85 is 8160.

Thus, GCF of Fractions is 1/8160.Finally, GCF of Fractions for 433/60, 690/32, 750/85 is 1/8160.