Greatest Common Factor of 385/108, 4140/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 385/108, 4140/360

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 385/108,4140/360

Given fractions are 385/108,4140/360

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 385,4140

Greatest Common Factor of Numerators i.e. GCF of 385,4140 is 5 .

LCM of Denominators means LCM of 108,360 as per the given fractions.

LCM of 108,360 is 1080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 385,4140

GCF of Fractions 385/108,4140/360 is 5/1080

5 385, 4140
77, 828

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

Greatest Common Factor of 385,4140 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,4140 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 4140

List of positive integer factors of 4140 that divides 4140 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,23,30,36,45,46,60,69,90,92,115,138,180,207,230,276,345,414,460,690,828,1035,1380,2070,4140

Greatest Common Factor

We found the factors 385,4140 . The biggest common factor number is the GCF number.
So the greatest common factor 385,4140 is 5.

Lets's calculate LCM of 108,360

2 108, 360
2 54, 180
3 27, 90
3 9, 30
3, 10

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 10 = 1080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1080

Therefore, the GCF of Fractions 385/108,4140/360 is 5/1080

Least Common Multiple of 108,360 with GCF Formula

Least Common Multiple of 108,360 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 108,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,360) = 36

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

GCF(108,360) x common factors =36 x 1 = 36

LCM(108,360) = ( 108 × 360 ) / 36

LCM(108,360) = 38880 / 36

LCM(108,360) = 1080


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 385/108, 4140/360

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 385/108, 4140/360?

Answer: GCF of Numerators as per given numbers 385/108, 4140/360 is

GCF of Numerators i.e. for 385,4140 is 5

LCM of denominators i.e. for 108,360 is 1080.

Thus, GCF of Fractions is 5/1080.Finally, GCF of Fractions for 385/108, 4140/360 is 5/1080.