Greatest Common Factor of 783/543, 8386/6536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 783/543, 8386/6536

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 783/543,8386/6536

Given fractions are 783/543,8386/6536

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 783,8386

Greatest Common Factor of Numerators i.e. GCF of 783,8386 is 1 .

LCM of Denominators means LCM of 543,6536 as per the given fractions.

LCM of 543,6536 is 3549048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 783,8386

GCF of Fractions 783/543,8386/6536 is 1/3549048

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

Greatest Common Factor of 783,8386 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,8386 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 8386

List of positive integer factors of 8386 that divides 8386 without a remainder.

1,2,7,14,599,1198,4193,8386

Greatest Common Factor

We found the factors 783,8386 . The biggest common factor number is the GCF number.
So the greatest common factor 783,8386 is 1.

Lets's calculate LCM of 543,6536

Given numbers has no common factors except 1. So, there LCM is their product i.e 3549048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3549048

Therefore, the GCF of Fractions 783/543,8386/6536 is 1/3549048

Least Common Multiple of 543,6536 with GCF Formula

Least Common Multiple of 543,6536 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 543,6536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,6536) = 1

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

GCF(543,6536) x common factors =1 x 1 = 1

LCM(543,6536) = ( 543 × 6536 ) / 1

LCM(543,6536) = 3549048 / 1

LCM(543,6536) = 3549048


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 783/543, 8386/6536

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 783/543, 8386/6536?

Answer: GCF of Numerators as per given numbers 783/543, 8386/6536 is

GCF of Numerators i.e. for 783,8386 is 1

LCM of denominators i.e. for 543,6536 is 3549048.

Thus, GCF of Fractions is 1/3549048.Finally, GCF of Fractions for 783/543, 8386/6536 is 1/3549048.