Greatest Common Factor of 60/51, 41/32, 19/49, 322/38

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/51, 41/32, 19/49, 322/38

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 60/51,41/32,19/49,322/38

Given fractions are 60/51,41/32,19/49,322/38

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 60,41,19,322

Greatest Common Factor of Numerators i.e. GCF of 60,41,19,322 is 1 .

LCM of Denominators means LCM of 51,32,49,38 as per the given fractions.

LCM of 51,32,49,38 is 1519392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,41,19,322

GCF of Fractions 60/51,41/32,19/49,322/38 is 1/1519392

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

Greatest Common Factor of 60,41,19,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,41,19,322 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 60,41,19,322 . The biggest common factor number is the GCF number.
So the greatest common factor 60,41,19,322 is 1.

Lets's calculate LCM of 51,32,49,38

2 51, 32, 49, 38
51, 16, 49, 19

∴ So the LCM of the given numbers is 2 x 51 x 16 x 49 x 19 = 1519392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1519392

Therefore, the GCF of Fractions 60/51,41/32,19/49,322/38 is 1/1519392

Least Common Multiple of 51,32,49,38 with GCF Formula

Least Common Multiple of 51,32,49,38 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 51,32,49,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,32,49,38) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(51,32,49,38) x common factors =1 x 2 = 2

LCM(51,32,49,38) = ( 51 × 32 × 49 × 38 ) / 2

LCM(51,32,49,38) = 3038784 / 2

LCM(51,32,49,38) = 1519392


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 60/51, 41/32, 19/49, 322/38

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 60/51, 41/32, 19/49, 322/38?

Answer: GCF of Numerators as per given numbers 60/51, 41/32, 19/49, 322/38 is

GCF of Numerators i.e. for 60,41,19,322 is 1

LCM of denominators i.e. for 51,32,49,38 is 1519392.

Thus, GCF of Fractions is 1/1519392.Finally, GCF of Fractions for 60/51, 41/32, 19/49, 322/38 is 1/1519392.