Greatest Common Factor of 30/46, 64/52, 78/97, 221/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/46, 64/52, 78/97, 221/19

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 30/46,64/52,78/97,221/19

Given fractions are 30/46,64/52,78/97,221/19

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 30,64,78,221

Greatest Common Factor of Numerators i.e. GCF of 30,64,78,221 is 1 .

LCM of Denominators means LCM of 46,52,97,19 as per the given fractions.

LCM of 46,52,97,19 is 2204228 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,64,78,221

GCF of Fractions 30/46,64/52,78/97,221/19 is 1/2204228

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

Greatest Common Factor of 30,64,78,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,64,78,221 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 30,64,78,221 . The biggest common factor number is the GCF number.
So the greatest common factor 30,64,78,221 is 1.

Lets's calculate LCM of 46,52,97,19

2 46, 52, 97, 19
23, 26, 97, 19

∴ So the LCM of the given numbers is 2 x 23 x 26 x 97 x 19 = 2204228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2204228

Therefore, the GCF of Fractions 30/46,64/52,78/97,221/19 is 1/2204228

Least Common Multiple of 46,52,97,19 with GCF Formula

Least Common Multiple of 46,52,97,19 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 46,52,97,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,52,97,19) = 1

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

GCF(46,52,97,19) x common factors =1 x 2 = 2

LCM(46,52,97,19) = ( 46 × 52 × 97 × 19 ) / 2

LCM(46,52,97,19) = 4408456 / 2

LCM(46,52,97,19) = 2204228


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 30/46, 64/52, 78/97, 221/19

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 30/46, 64/52, 78/97, 221/19?

Answer: GCF of Numerators as per given numbers 30/46, 64/52, 78/97, 221/19 is

GCF of Numerators i.e. for 30,64,78,221 is 1

LCM of denominators i.e. for 46,52,97,19 is 2204228.

Thus, GCF of Fractions is 1/2204228.Finally, GCF of Fractions for 30/46, 64/52, 78/97, 221/19 is 1/2204228.