Greatest Common Factor of 6533/624, 7693/8719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6533/624, 7693/8719

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 6533/624,7693/8719

Given fractions are 6533/624,7693/8719

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 6533,7693

Greatest Common Factor of Numerators i.e. GCF of 6533,7693 is 1 .

LCM of Denominators means LCM of 624,8719 as per the given fractions.

LCM of 624,8719 is 5440656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6533,7693

GCF of Fractions 6533/624,7693/8719 is 1/5440656

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

Greatest Common Factor of 6533,7693 By Matching Biggest Common Factor Method

Greatest Common Factor of 6533,7693 By Matching Biggest Common Factor Method

Factors of 6533

List of positive integer factors of 6533 that divides 6533 without a remainder.

1,47,139,6533

Factors of 7693

List of positive integer factors of 7693 that divides 7693 without a remainder.

1,7,49,157,1099,7693

Greatest Common Factor

We found the factors 6533,7693 . The biggest common factor number is the GCF number.
So the greatest common factor 6533,7693 is 1.

Lets's calculate LCM of 624,8719

Given numbers has no common factors except 1. So, there LCM is their product i.e 5440656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5440656

Therefore, the GCF of Fractions 6533/624,7693/8719 is 1/5440656

Least Common Multiple of 624,8719 with GCF Formula

Least Common Multiple of 624,8719 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 624,8719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,8719) = 1

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

GCF(624,8719) x common factors =1 x 1 = 1

LCM(624,8719) = ( 624 × 8719 ) / 1

LCM(624,8719) = 5440656 / 1

LCM(624,8719) = 5440656


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 6533/624, 7693/8719

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 6533/624, 7693/8719?

Answer: GCF of Numerators as per given numbers 6533/624, 7693/8719 is

GCF of Numerators i.e. for 6533,7693 is 1

LCM of denominators i.e. for 624,8719 is 5440656.

Thus, GCF of Fractions is 1/5440656.Finally, GCF of Fractions for 6533/624, 7693/8719 is 1/5440656.