Greatest Common Factor of 4/60, 36/79, 16/350, 615/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/60, 36/79, 16/350, 615/168

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 4/60,36/79,16/350,615/168

Given fractions are 4/60,36/79,16/350,615/168

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 4,36,16,615

Greatest Common Factor of Numerators i.e. GCF of 4,36,16,615 is 1 .

LCM of Denominators means LCM of 60,79,350,168 as per the given fractions.

LCM of 60,79,350,168 is 331800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,36,16,615

GCF of Fractions 4/60,36/79,16/350,615/168 is 1/331800

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4,36,16,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,36,16,615 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors 4,36,16,615 . The biggest common factor number is the GCF number.
So the greatest common factor 4,36,16,615 is 1.

Lets's calculate LCM of 60,79,350,168

2 60, 79, 350, 168
2 30, 79, 175, 84
3 15, 79, 175, 42
5 5, 79, 175, 14
7 1, 79, 35, 14
1, 79, 5, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 79 x 5 x 2 = 331800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/331800

Therefore, the GCF of Fractions 4/60,36/79,16/350,615/168 is 1/331800

Least Common Multiple of 60,79,350,168 with GCF Formula

Least Common Multiple of 60,79,350,168 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 60,79,350,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,79,350,168) = 1

common factors(in case of two or more numbers have common factors) = 840

GCF(60,79,350,168) x common factors =1 x 840 = 840

LCM(60,79,350,168) = ( 60 × 79 × 350 × 168 ) / 840

LCM(60,79,350,168) = 278712000 / 840

LCM(60,79,350,168) = 331800


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 4/60, 36/79, 16/350, 615/168

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 4/60, 36/79, 16/350, 615/168?

Answer: GCF of Numerators as per given numbers 4/60, 36/79, 16/350, 615/168 is

GCF of Numerators i.e. for 4,36,16,615 is 1

LCM of denominators i.e. for 60,79,350,168 is 331800.

Thus, GCF of Fractions is 1/331800.Finally, GCF of Fractions for 4/60, 36/79, 16/350, 615/168 is 1/331800.