Greatest Common Factor of 4752/859, 3900/7345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4752/859, 3900/7345

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 4752/859,3900/7345

Given fractions are 4752/859,3900/7345

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 4752,3900

Greatest Common Factor of Numerators i.e. GCF of 4752,3900 is 12 .

LCM of Denominators means LCM of 859,7345 as per the given fractions.

LCM of 859,7345 is 6309355 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4752,3900

GCF of Fractions 4752/859,3900/7345 is 12/6309355

2 4752, 3900
2 2376, 1950
3 1188, 975
396, 325

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

Greatest Common Factor of 4752,3900 By Matching Biggest Common Factor Method

Greatest Common Factor of 4752,3900 By Matching Biggest Common Factor Method

Factors of 4752

List of positive integer factors of 4752 that divides 4752 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,27,33,36,44,48,54,66,72,88,99,108,132,144,176,198,216,264,297,396,432,528,594,792,1188,1584,2376,4752

Factors of 3900

List of positive integer factors of 3900 that divides 3900 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,25,26,30,39,50,52,60,65,75,78,100,130,150,156,195,260,300,325,390,650,780,975,1300,1950,3900

Greatest Common Factor

We found the factors 4752,3900 . The biggest common factor number is the GCF number.
So the greatest common factor 4752,3900 is 12.

Lets's calculate LCM of 859,7345

Given numbers has no common factors except 1. So, there LCM is their product i.e 6309355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/6309355

Therefore, the GCF of Fractions 4752/859,3900/7345 is 12/6309355

Least Common Multiple of 859,7345 with GCF Formula

Least Common Multiple of 859,7345 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 859,7345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(859,7345) = 1

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

GCF(859,7345) x common factors =1 x 1 = 1

LCM(859,7345) = ( 859 × 7345 ) / 1

LCM(859,7345) = 6309355 / 1

LCM(859,7345) = 6309355


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 4752/859, 3900/7345

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 4752/859, 3900/7345?

Answer: GCF of Numerators as per given numbers 4752/859, 3900/7345 is

GCF of Numerators i.e. for 4752,3900 is 12

LCM of denominators i.e. for 859,7345 is 6309355.

Thus, GCF of Fractions is 12/6309355.Finally, GCF of Fractions for 4752/859, 3900/7345 is 12/6309355.