Greatest Common Factor of 384/53, 780/5935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 384/53, 780/5935

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 384/53,780/5935

Given fractions are 384/53,780/5935

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 384,780

Greatest Common Factor of Numerators i.e. GCF of 384,780 is 12 .

LCM of Denominators means LCM of 53,5935 as per the given fractions.

LCM of 53,5935 is 314555 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 384,780

GCF of Fractions 384/53,780/5935 is 12/314555

2 384, 780
2 192, 390
3 96, 195
32, 65

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 384,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,780 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

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

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 384,780 . The biggest common factor number is the GCF number.
So the greatest common factor 384,780 is 12.

Lets's calculate LCM of 53,5935

Given numbers has no common factors except 1. So, there LCM is their product i.e 314555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/314555

Therefore, the GCF of Fractions 384/53,780/5935 is 12/314555

Least Common Multiple of 53,5935 with GCF Formula

Least Common Multiple of 53,5935 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 53,5935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,5935) = 1

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

GCF(53,5935) x common factors =1 x 1 = 1

LCM(53,5935) = ( 53 × 5935 ) / 1

LCM(53,5935) = 314555 / 1

LCM(53,5935) = 314555


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 384/53, 780/5935

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 384/53, 780/5935?

Answer: GCF of Numerators as per given numbers 384/53, 780/5935 is

GCF of Numerators i.e. for 384,780 is 12

LCM of denominators i.e. for 53,5935 is 314555.

Thus, GCF of Fractions is 12/314555.Finally, GCF of Fractions for 384/53, 780/5935 is 12/314555.