Greatest Common Factor of 390/57, 768/42, 620/92

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 390/57, 768/42, 620/92

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 390/57,768/42,620/92

Given fractions are 390/57,768/42,620/92

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 390,768,620

Greatest Common Factor of Numerators i.e. GCF of 390,768,620 is 2 .

LCM of Denominators means LCM of 57,42,92 as per the given fractions.

LCM of 57,42,92 is 36708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 390,768,620

GCF of Fractions 390/57,768/42,620/92 is 2/36708

2 390, 768, 620
195, 384, 310

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

Greatest Common Factor of 390,768,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,768,620 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 390,768,620 . The biggest common factor number is the GCF number.
So the greatest common factor 390,768,620 is 2.

Lets's calculate LCM of 57,42,92

2 57, 42, 92
3 57, 21, 46
19, 7, 46

∴ So the LCM of the given numbers is 2 x 3 x 19 x 7 x 46 = 36708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36708

Therefore, the GCF of Fractions 390/57,768/42,620/92 is 2/36708

Least Common Multiple of 57,42,92 with GCF Formula

Least Common Multiple of 57,42,92 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 57,42,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,42,92) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(57,42,92) x common factors =1 x 6 = 6

LCM(57,42,92) = ( 57 × 42 × 92 ) / 6

LCM(57,42,92) = 220248 / 6

LCM(57,42,92) = 36708


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 390/57, 768/42, 620/92

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 390/57, 768/42, 620/92?

Answer: GCF of Numerators as per given numbers 390/57, 768/42, 620/92 is

GCF of Numerators i.e. for 390,768,620 is 2

LCM of denominators i.e. for 57,42,92 is 36708.

Thus, GCF of Fractions is 2/36708.Finally, GCF of Fractions for 390/57, 768/42, 620/92 is 2/36708.