Greatest Common Factor of 6155/840, 3720/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6155/840, 3720/216

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 6155/840,3720/216

Given fractions are 6155/840,3720/216

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 6155,3720

Greatest Common Factor of Numerators i.e. GCF of 6155,3720 is 5 .

LCM of Denominators means LCM of 840,216 as per the given fractions.

LCM of 840,216 is 7560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6155,3720

GCF of Fractions 6155/840,3720/216 is 5/7560

5 6155, 3720
1231, 744

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6155,3720 By Matching Biggest Common Factor Method

Greatest Common Factor of 6155,3720 By Matching Biggest Common Factor Method

Factors of 6155

List of positive integer factors of 6155 that divides 6155 without a remainder.

1,5,1231,6155

Factors of 3720

List of positive integer factors of 3720 that divides 3720 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,31,40,60,62,93,120,124,155,186,248,310,372,465,620,744,930,1240,1860,3720

Greatest Common Factor

We found the factors 6155,3720 . The biggest common factor number is the GCF number.
So the greatest common factor 6155,3720 is 5.

Lets's calculate LCM of 840,216

2 840, 216
2 420, 108
2 210, 54
3 105, 27
35, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 35 x 9 = 7560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7560

Therefore, the GCF of Fractions 6155/840,3720/216 is 5/7560

Least Common Multiple of 840,216 with GCF Formula

Least Common Multiple of 840,216 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 840,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,216) = 24

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

GCF(840,216) x common factors =24 x 1 = 24

LCM(840,216) = ( 840 × 216 ) / 24

LCM(840,216) = 181440 / 24

LCM(840,216) = 7560


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 6155/840, 3720/216

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 6155/840, 3720/216?

Answer: GCF of Numerators as per given numbers 6155/840, 3720/216 is

GCF of Numerators i.e. for 6155,3720 is 5

LCM of denominators i.e. for 840,216 is 7560.

Thus, GCF of Fractions is 5/7560.Finally, GCF of Fractions for 6155/840, 3720/216 is 5/7560.