Greatest Common Factor of 6432/69, 1860/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6432/69, 1860/483

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 6432/69,1860/483

Given fractions are 6432/69,1860/483

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 6432,1860

Greatest Common Factor of Numerators i.e. GCF of 6432,1860 is 12 .

LCM of Denominators means LCM of 69,483 as per the given fractions.

LCM of 69,483 is 483 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6432,1860

GCF of Fractions 6432/69,1860/483 is 12/483

2 6432, 1860
2 3216, 930
3 1608, 465
536, 155

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

Greatest Common Factor of 6432,1860 By Matching Biggest Common Factor Method

Greatest Common Factor of 6432,1860 By Matching Biggest Common Factor Method

Factors of 6432

List of positive integer factors of 6432 that divides 6432 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,67,96,134,201,268,402,536,804,1072,1608,2144,3216,6432

Factors of 1860

List of positive integer factors of 1860 that divides 1860 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,31,60,62,93,124,155,186,310,372,465,620,930,1860

Greatest Common Factor

We found the factors 6432,1860 . The biggest common factor number is the GCF number.
So the greatest common factor 6432,1860 is 12.

Lets's calculate LCM of 69,483

3 69, 483
23 23, 161
1, 7

∴ So the LCM of the given numbers is 3 x 23 x 1 x 7 = 483

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/483

Therefore, the GCF of Fractions 6432/69,1860/483 is 12/483

Least Common Multiple of 69,483 with GCF Formula

Least Common Multiple of 69,483 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 69,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,483) = 69

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

GCF(69,483) x common factors =69 x 1 = 69

LCM(69,483) = ( 69 × 483 ) / 69

LCM(69,483) = 33327 / 69

LCM(69,483) = 483


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 6432/69, 1860/483

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 6432/69, 1860/483?

Answer: GCF of Numerators as per given numbers 6432/69, 1860/483 is

GCF of Numerators i.e. for 6432,1860 is 12

LCM of denominators i.e. for 69,483 is 483.

Thus, GCF of Fractions is 12/483.Finally, GCF of Fractions for 6432/69, 1860/483 is 12/483.