Greatest Common Factor of 437/63, 3542/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 437/63, 3542/589

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 437/63,3542/589

Given fractions are 437/63,3542/589

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 437,3542

Greatest Common Factor of Numerators i.e. GCF of 437,3542 is 23 .

LCM of Denominators means LCM of 63,589 as per the given fractions.

LCM of 63,589 is 37107 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 437,3542

GCF of Fractions 437/63,3542/589 is 23/37107

23 437, 3542
19, 154

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 437,3542 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,3542 By Matching Biggest Common Factor Method

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 3542

List of positive integer factors of 3542 that divides 3542 without a remainder.

1,2,7,11,14,22,23,46,77,154,161,253,322,506,1771,3542

Greatest Common Factor

We found the factors 437,3542 . The biggest common factor number is the GCF number.
So the greatest common factor 437,3542 is 23.

Lets's calculate LCM of 63,589

Given numbers has no common factors except 1. So, there LCM is their product i.e 37107

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/37107

Therefore, the GCF of Fractions 437/63,3542/589 is 23/37107

Least Common Multiple of 63,589 with GCF Formula

Least Common Multiple of 63,589 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 63,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,589) = 1

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

GCF(63,589) x common factors =1 x 1 = 1

LCM(63,589) = ( 63 × 589 ) / 1

LCM(63,589) = 37107 / 1

LCM(63,589) = 37107


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 437/63, 3542/589

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 437/63, 3542/589?

Answer: GCF of Numerators as per given numbers 437/63, 3542/589 is

GCF of Numerators i.e. for 437,3542 is 23

LCM of denominators i.e. for 63,589 is 37107.

Thus, GCF of Fractions is 23/37107.Finally, GCF of Fractions for 437/63, 3542/589 is 23/37107.