Greatest Common Factor of 6723/990, 5561/7988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6723/990, 5561/7988

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 6723/990,5561/7988

Given fractions are 6723/990,5561/7988

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 6723,5561

Greatest Common Factor of Numerators i.e. GCF of 6723,5561 is 83 .

LCM of Denominators means LCM of 990,7988 as per the given fractions.

LCM of 990,7988 is 3954060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6723,5561

GCF of Fractions 6723/990,5561/7988 is 83/3954060

83 6723, 5561
81, 67

∴ So the GCF of the given numbers is 83 = 83

Greatest Common Factor of 6723,5561 By Matching Biggest Common Factor Method

Greatest Common Factor of 6723,5561 By Matching Biggest Common Factor Method

Factors of 6723

List of positive integer factors of 6723 that divides 6723 without a remainder.

1,3,9,27,81,83,249,747,2241,6723

Factors of 5561

List of positive integer factors of 5561 that divides 5561 without a remainder.

1,67,83,5561

Greatest Common Factor

We found the factors 6723,5561 . The biggest common factor number is the GCF number.
So the greatest common factor 6723,5561 is 83.

Lets's calculate LCM of 990,7988

2 990, 7988
495, 3994

∴ So the LCM of the given numbers is 2 x 495 x 3994 = 3954060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/3954060

Therefore, the GCF of Fractions 6723/990,5561/7988 is 83/3954060

Least Common Multiple of 990,7988 with GCF Formula

Least Common Multiple of 990,7988 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 990,7988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,7988) = 2

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

GCF(990,7988) x common factors =2 x 1 = 2

LCM(990,7988) = ( 990 × 7988 ) / 2

LCM(990,7988) = 7908120 / 2

LCM(990,7988) = 3954060


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 6723/990, 5561/7988

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 6723/990, 5561/7988?

Answer: GCF of Numerators as per given numbers 6723/990, 5561/7988 is

GCF of Numerators i.e. for 6723,5561 is 83

LCM of denominators i.e. for 990,7988 is 3954060.

Thus, GCF of Fractions is 83/3954060.Finally, GCF of Fractions for 6723/990, 5561/7988 is 83/3954060.