Greatest Common Factor of 6108/722, 6300/3826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6108/722, 6300/3826

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 6108/722,6300/3826

Given fractions are 6108/722,6300/3826

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 6108,6300

Greatest Common Factor of Numerators i.e. GCF of 6108,6300 is 12 .

LCM of Denominators means LCM of 722,3826 as per the given fractions.

LCM of 722,3826 is 1381186 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6108,6300

GCF of Fractions 6108/722,6300/3826 is 12/1381186

2 6108, 6300
2 3054, 3150
3 1527, 1575
509, 525

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

Greatest Common Factor of 6108,6300 By Matching Biggest Common Factor Method

Greatest Common Factor of 6108,6300 By Matching Biggest Common Factor Method

Factors of 6108

List of positive integer factors of 6108 that divides 6108 without a remainder.

1,2,3,4,6,12,509,1018,1527,2036,3054,6108

Factors of 6300

List of positive integer factors of 6300 that divides 6300 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,25,28,30,35,36,42,45,50,60,63,70,75,84,90,100,105,126,140,150,175,180,210,225,252,300,315,350,420,450,525,630,700,900,1050,1260,1575,2100,3150,6300

Greatest Common Factor

We found the factors 6108,6300 . The biggest common factor number is the GCF number.
So the greatest common factor 6108,6300 is 12.

Lets's calculate LCM of 722,3826

2 722, 3826
361, 1913

∴ So the LCM of the given numbers is 2 x 361 x 1913 = 1381186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1381186

Therefore, the GCF of Fractions 6108/722,6300/3826 is 12/1381186

Least Common Multiple of 722,3826 with GCF Formula

Least Common Multiple of 722,3826 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 722,3826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,3826) = 2

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

GCF(722,3826) x common factors =2 x 1 = 2

LCM(722,3826) = ( 722 × 3826 ) / 2

LCM(722,3826) = 2762372 / 2

LCM(722,3826) = 1381186


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 6108/722, 6300/3826

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 6108/722, 6300/3826?

Answer: GCF of Numerators as per given numbers 6108/722, 6300/3826 is

GCF of Numerators i.e. for 6108,6300 is 12

LCM of denominators i.e. for 722,3826 is 1381186.

Thus, GCF of Fractions is 12/1381186.Finally, GCF of Fractions for 6108/722, 6300/3826 is 12/1381186.