Greatest Common Factor of 16/487, 592/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/487, 592/426

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 16/487,592/426

Given fractions are 16/487,592/426

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 16,592

Greatest Common Factor of Numerators i.e. GCF of 16,592 is 16 .

LCM of Denominators means LCM of 487,426 as per the given fractions.

LCM of 487,426 is 207462 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,592

GCF of Fractions 16/487,592/426 is 16/207462

2 16, 592
2 8, 296
2 4, 148
2 2, 74
1, 37

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 16,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,592 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 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 16,592 . The biggest common factor number is the GCF number.
So the greatest common factor 16,592 is 16.

Lets's calculate LCM of 487,426

Given numbers has no common factors except 1. So, there LCM is their product i.e 207462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/207462

Therefore, the GCF of Fractions 16/487,592/426 is 16/207462

Least Common Multiple of 487,426 with GCF Formula

Least Common Multiple of 487,426 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 487,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,426) = 1

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

GCF(487,426) x common factors =1 x 1 = 1

LCM(487,426) = ( 487 × 426 ) / 1

LCM(487,426) = 207462 / 1

LCM(487,426) = 207462


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 16/487, 592/426

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 16/487, 592/426?

Answer: GCF of Numerators as per given numbers 16/487, 592/426 is

GCF of Numerators i.e. for 16,592 is 16

LCM of denominators i.e. for 487,426 is 207462.

Thus, GCF of Fractions is 16/207462.Finally, GCF of Fractions for 16/487, 592/426 is 16/207462.