Greatest Common Factor of 5766/623, 8227/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5766/623, 8227/753

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 5766/623,8227/753

Given fractions are 5766/623,8227/753

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 5766,8227

Greatest Common Factor of Numerators i.e. GCF of 5766,8227 is 1 .

LCM of Denominators means LCM of 623,753 as per the given fractions.

LCM of 623,753 is 469119 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5766,8227

GCF of Fractions 5766/623,8227/753 is 1/469119

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

Greatest Common Factor of 5766,8227 By Matching Biggest Common Factor Method

Greatest Common Factor of 5766,8227 By Matching Biggest Common Factor Method

Factors of 5766

List of positive integer factors of 5766 that divides 5766 without a remainder.

1,2,3,6,31,62,93,186,961,1922,2883,5766

Factors of 8227

List of positive integer factors of 8227 that divides 8227 without a remainder.

1,19,433,8227

Greatest Common Factor

We found the factors 5766,8227 . The biggest common factor number is the GCF number.
So the greatest common factor 5766,8227 is 1.

Lets's calculate LCM of 623,753

Given numbers has no common factors except 1. So, there LCM is their product i.e 469119

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/469119

Therefore, the GCF of Fractions 5766/623,8227/753 is 1/469119

Least Common Multiple of 623,753 with GCF Formula

Least Common Multiple of 623,753 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 623,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(623,753) = 1

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

GCF(623,753) x common factors =1 x 1 = 1

LCM(623,753) = ( 623 × 753 ) / 1

LCM(623,753) = 469119 / 1

LCM(623,753) = 469119


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 5766/623, 8227/753

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 5766/623, 8227/753?

Answer: GCF of Numerators as per given numbers 5766/623, 8227/753 is

GCF of Numerators i.e. for 5766,8227 is 1

LCM of denominators i.e. for 623,753 is 469119.

Thus, GCF of Fractions is 1/469119.Finally, GCF of Fractions for 5766/623, 8227/753 is 1/469119.