Greatest Common Factor of 360/68, 1548/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 360/68, 1548/420

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 360/68,1548/420

Given fractions are 360/68,1548/420

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 360,1548

Greatest Common Factor of Numerators i.e. GCF of 360,1548 is 36 .

LCM of Denominators means LCM of 68,420 as per the given fractions.

LCM of 68,420 is 7140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 360,1548

GCF of Fractions 360/68,1548/420 is 36/7140

2 360, 1548
2 180, 774
3 90, 387
3 30, 129
10, 43

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 360,1548 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,1548 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 1548

List of positive integer factors of 1548 that divides 1548 without a remainder.

1,2,3,4,6,9,12,18,36,43,86,129,172,258,387,516,774,1548

Greatest Common Factor

We found the factors 360,1548 . The biggest common factor number is the GCF number.
So the greatest common factor 360,1548 is 36.

Lets's calculate LCM of 68,420

2 68, 420
2 34, 210
17, 105

∴ So the LCM of the given numbers is 2 x 2 x 17 x 105 = 7140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/7140

Therefore, the GCF of Fractions 360/68,1548/420 is 36/7140

Least Common Multiple of 68,420 with GCF Formula

Least Common Multiple of 68,420 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 68,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,420) = 4

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

GCF(68,420) x common factors =4 x 1 = 4

LCM(68,420) = ( 68 × 420 ) / 4

LCM(68,420) = 28560 / 4

LCM(68,420) = 7140


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 360/68, 1548/420

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 360/68, 1548/420?

Answer: GCF of Numerators as per given numbers 360/68, 1548/420 is

GCF of Numerators i.e. for 360,1548 is 36

LCM of denominators i.e. for 68,420 is 7140.

Thus, GCF of Fractions is 36/7140.Finally, GCF of Fractions for 360/68, 1548/420 is 36/7140.