Greatest Common Factor of 608/933, 2120/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 608/933, 2120/396

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 608/933,2120/396

Given fractions are 608/933,2120/396

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 608,2120

Greatest Common Factor of Numerators i.e. GCF of 608,2120 is 8 .

LCM of Denominators means LCM of 933,396 as per the given fractions.

LCM of 933,396 is 123156 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 608,2120

GCF of Fractions 608/933,2120/396 is 8/123156

2 608, 2120
2 304, 1060
2 152, 530
76, 265

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 608,2120 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,2120 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 2120

List of positive integer factors of 2120 that divides 2120 without a remainder.

1,2,4,5,8,10,20,40,53,106,212,265,424,530,1060,2120

Greatest Common Factor

We found the factors 608,2120 . The biggest common factor number is the GCF number.
So the greatest common factor 608,2120 is 8.

Lets's calculate LCM of 933,396

3 933, 396
311, 132

∴ So the LCM of the given numbers is 3 x 311 x 132 = 123156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/123156

Therefore, the GCF of Fractions 608/933,2120/396 is 8/123156

Least Common Multiple of 933,396 with GCF Formula

Least Common Multiple of 933,396 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 933,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,396) = 3

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

GCF(933,396) x common factors =3 x 1 = 3

LCM(933,396) = ( 933 × 396 ) / 3

LCM(933,396) = 369468 / 3

LCM(933,396) = 123156


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 608/933, 2120/396

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 608/933, 2120/396?

Answer: GCF of Numerators as per given numbers 608/933, 2120/396 is

GCF of Numerators i.e. for 608,2120 is 8

LCM of denominators i.e. for 933,396 is 123156.

Thus, GCF of Fractions is 8/123156.Finally, GCF of Fractions for 608/933, 2120/396 is 8/123156.