Greatest Common Factor of 5462/73, 6437/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5462/73, 6437/565

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 5462/73,6437/565

Given fractions are 5462/73,6437/565

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 5462,6437

Greatest Common Factor of Numerators i.e. GCF of 5462,6437 is 1 .

LCM of Denominators means LCM of 73,565 as per the given fractions.

LCM of 73,565 is 41245 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5462,6437

GCF of Fractions 5462/73,6437/565 is 1/41245

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

Greatest Common Factor of 5462,6437 By Matching Biggest Common Factor Method

Greatest Common Factor of 5462,6437 By Matching Biggest Common Factor Method

Factors of 5462

List of positive integer factors of 5462 that divides 5462 without a remainder.

1,2,2731,5462

Factors of 6437

List of positive integer factors of 6437 that divides 6437 without a remainder.

1,41,157,6437

Greatest Common Factor

We found the factors 5462,6437 . The biggest common factor number is the GCF number.
So the greatest common factor 5462,6437 is 1.

Lets's calculate LCM of 73,565

Given numbers has no common factors except 1. So, there LCM is their product i.e 41245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41245

Therefore, the GCF of Fractions 5462/73,6437/565 is 1/41245

Least Common Multiple of 73,565 with GCF Formula

Least Common Multiple of 73,565 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 73,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,565) = 1

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

GCF(73,565) x common factors =1 x 1 = 1

LCM(73,565) = ( 73 × 565 ) / 1

LCM(73,565) = 41245 / 1

LCM(73,565) = 41245


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 5462/73, 6437/565

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 5462/73, 6437/565?

Answer: GCF of Numerators as per given numbers 5462/73, 6437/565 is

GCF of Numerators i.e. for 5462,6437 is 1

LCM of denominators i.e. for 73,565 is 41245.

Thus, GCF of Fractions is 1/41245.Finally, GCF of Fractions for 5462/73, 6437/565 is 1/41245.