Greatest Common Factor of 1543/487, 5897/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1543/487, 5897/782

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 1543/487,5897/782

Given fractions are 1543/487,5897/782

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 1543,5897

Greatest Common Factor of Numerators i.e. GCF of 1543,5897 is 1 .

LCM of Denominators means LCM of 487,782 as per the given fractions.

LCM of 487,782 is 380834 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1543,5897

GCF of Fractions 1543/487,5897/782 is 1/380834

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

Greatest Common Factor of 1543,5897 By Matching Biggest Common Factor Method

Greatest Common Factor of 1543,5897 By Matching Biggest Common Factor Method

Factors of 1543

List of positive integer factors of 1543 that divides 1543 without a remainder.

1,1543

Factors of 5897

List of positive integer factors of 5897 that divides 5897 without a remainder.

1,5897

Greatest Common Factor

We found the factors 1543,5897 . The biggest common factor number is the GCF number.
So the greatest common factor 1543,5897 is 1.

Lets's calculate LCM of 487,782

Given numbers has no common factors except 1. So, there LCM is their product i.e 380834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/380834

Therefore, the GCF of Fractions 1543/487,5897/782 is 1/380834

Least Common Multiple of 487,782 with GCF Formula

Least Common Multiple of 487,782 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 487,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,782) = 1

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

GCF(487,782) x common factors =1 x 1 = 1

LCM(487,782) = ( 487 × 782 ) / 1

LCM(487,782) = 380834 / 1

LCM(487,782) = 380834


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 1543/487, 5897/782

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 1543/487, 5897/782?

Answer: GCF of Numerators as per given numbers 1543/487, 5897/782 is

GCF of Numerators i.e. for 1543,5897 is 1

LCM of denominators i.e. for 487,782 is 380834.

Thus, GCF of Fractions is 1/380834.Finally, GCF of Fractions for 1543/487, 5897/782 is 1/380834.