Greatest Common Factor of 192/91, 931/30, 825/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 192/91, 931/30, 825/550

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 192/91,931/30,825/550

Given fractions are 192/91,931/30,825/550

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 192,931,825

Greatest Common Factor of Numerators i.e. GCF of 192,931,825 is 1 .

LCM of Denominators means LCM of 91,30,550 as per the given fractions.

LCM of 91,30,550 is 150150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 192,931,825

GCF of Fractions 192/91,931/30,825/550 is 1/150150

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

Greatest Common Factor of 192,931,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 192,931,825 By Matching Biggest Common Factor Method

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 192,931,825 . The biggest common factor number is the GCF number.
So the greatest common factor 192,931,825 is 1.

Lets's calculate LCM of 91,30,550

2 91, 30, 550
5 91, 15, 275
91, 3, 55

∴ So the LCM of the given numbers is 2 x 5 x 91 x 3 x 55 = 150150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150150

Therefore, the GCF of Fractions 192/91,931/30,825/550 is 1/150150

Least Common Multiple of 91,30,550 with GCF Formula

Least Common Multiple of 91,30,550 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 91,30,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,30,550) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(91,30,550) x common factors =1 x 10 = 10

LCM(91,30,550) = ( 91 × 30 × 550 ) / 10

LCM(91,30,550) = 1501500 / 10

LCM(91,30,550) = 150150


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 192/91, 931/30, 825/550

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 192/91, 931/30, 825/550?

Answer: GCF of Numerators as per given numbers 192/91, 931/30, 825/550 is

GCF of Numerators i.e. for 192,931,825 is 1

LCM of denominators i.e. for 91,30,550 is 150150.

Thus, GCF of Fractions is 1/150150.Finally, GCF of Fractions for 192/91, 931/30, 825/550 is 1/150150.