Greatest Common Factor of 16/53, 42/53, 456/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/53, 42/53, 456/747

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 16/53,42/53,456/747

Given fractions are 16/53,42/53,456/747

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 16,42,456

Greatest Common Factor of Numerators i.e. GCF of 16,42,456 is 2 .

LCM of Denominators means LCM of 53,53,747 as per the given fractions.

LCM of 53,53,747 is 39591 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,42,456

GCF of Fractions 16/53,42/53,456/747 is 2/39591

2 16, 42, 456
8, 21, 228

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 16,42,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,42,456 By Matching Biggest Common Factor Method

Factors of 16

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

1,2,4,8,16

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 16,42,456 . The biggest common factor number is the GCF number.
So the greatest common factor 16,42,456 is 2.

Lets's calculate LCM of 53,53,747

53 53, 53, 747
1, 1, 747

∴ So the LCM of the given numbers is 53 x 1 x 1 x 747 = 39591

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39591

Therefore, the GCF of Fractions 16/53,42/53,456/747 is 2/39591

Least Common Multiple of 53,53,747 with GCF Formula

Least Common Multiple of 53,53,747 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 53,53,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,53,747) = 1

common factors(in case of two or more numbers have common factors) = 53

GCF(53,53,747) x common factors =1 x 53 = 53

LCM(53,53,747) = ( 53 × 53 × 747 ) / 53

LCM(53,53,747) = 2098323 / 53

LCM(53,53,747) = 39591


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 16/53, 42/53, 456/747

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 16/53, 42/53, 456/747?

Answer: GCF of Numerators as per given numbers 16/53, 42/53, 456/747 is

GCF of Numerators i.e. for 16,42,456 is 2

LCM of denominators i.e. for 53,53,747 is 39591.

Thus, GCF of Fractions is 2/39591.Finally, GCF of Fractions for 16/53, 42/53, 456/747 is 2/39591.