Greatest Common Factor of 592/21, 912/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 592/21, 912/197

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 592/21,912/197

Given fractions are 592/21,912/197

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 592,912

Greatest Common Factor of Numerators i.e. GCF of 592,912 is 16 .

LCM of Denominators means LCM of 21,197 as per the given fractions.

LCM of 21,197 is 4137 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 592,912

GCF of Fractions 592/21,912/197 is 16/4137

2 592, 912
2 296, 456
2 148, 228
2 74, 114
37, 57

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 592,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,912 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 592,912 . The biggest common factor number is the GCF number.
So the greatest common factor 592,912 is 16.

Lets's calculate LCM of 21,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 4137

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/4137

Therefore, the GCF of Fractions 592/21,912/197 is 16/4137

Least Common Multiple of 21,197 with GCF Formula

Least Common Multiple of 21,197 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 21,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,197) = 1

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

GCF(21,197) x common factors =1 x 1 = 1

LCM(21,197) = ( 21 × 197 ) / 1

LCM(21,197) = 4137 / 1

LCM(21,197) = 4137


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 592/21, 912/197

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 592/21, 912/197?

Answer: GCF of Numerators as per given numbers 592/21, 912/197 is

GCF of Numerators i.e. for 592,912 is 16

LCM of denominators i.e. for 21,197 is 4137.

Thus, GCF of Fractions is 16/4137.Finally, GCF of Fractions for 592/21, 912/197 is 16/4137.