Greatest Common Factor of 3822/72, 3045/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3822/72, 3045/168

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 3822/72,3045/168

Given fractions are 3822/72,3045/168

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 3822,3045

Greatest Common Factor of Numerators i.e. GCF of 3822,3045 is 21 .

LCM of Denominators means LCM of 72,168 as per the given fractions.

LCM of 72,168 is 504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3822,3045

GCF of Fractions 3822/72,3045/168 is 21/504

3 3822, 3045
7 1274, 1015
182, 145

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 3822,3045 By Matching Biggest Common Factor Method

Greatest Common Factor of 3822,3045 By Matching Biggest Common Factor Method

Factors of 3822

List of positive integer factors of 3822 that divides 3822 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,49,78,91,98,147,182,273,294,546,637,1274,1911,3822

Factors of 3045

List of positive integer factors of 3045 that divides 3045 without a remainder.

1,3,5,7,15,21,29,35,87,105,145,203,435,609,1015,3045

Greatest Common Factor

We found the factors 3822,3045 . The biggest common factor number is the GCF number.
So the greatest common factor 3822,3045 is 21.

Lets's calculate LCM of 72,168

2 72, 168
2 36, 84
2 18, 42
3 9, 21
3, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 7 = 504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/504

Therefore, the GCF of Fractions 3822/72,3045/168 is 21/504

Least Common Multiple of 72,168 with GCF Formula

Least Common Multiple of 72,168 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 72,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,168) = 24

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

GCF(72,168) x common factors =24 x 1 = 24

LCM(72,168) = ( 72 × 168 ) / 24

LCM(72,168) = 12096 / 24

LCM(72,168) = 504


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 3822/72, 3045/168

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 3822/72, 3045/168?

Answer: GCF of Numerators as per given numbers 3822/72, 3045/168 is

GCF of Numerators i.e. for 3822,3045 is 21

LCM of denominators i.e. for 72,168 is 504.

Thus, GCF of Fractions is 21/504.Finally, GCF of Fractions for 3822/72, 3045/168 is 21/504.