Greatest Common Factor of 6764/899, 8450/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6764/899, 8450/623

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 6764/899,8450/623

Given fractions are 6764/899,8450/623

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 6764,8450

Greatest Common Factor of Numerators i.e. GCF of 6764,8450 is 2 .

LCM of Denominators means LCM of 899,623 as per the given fractions.

LCM of 899,623 is 560077 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6764,8450

GCF of Fractions 6764/899,8450/623 is 2/560077

2 6764, 8450
3382, 4225

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6764,8450 By Matching Biggest Common Factor Method

Greatest Common Factor of 6764,8450 By Matching Biggest Common Factor Method

Factors of 6764

List of positive integer factors of 6764 that divides 6764 without a remainder.

1,2,4,19,38,76,89,178,356,1691,3382,6764

Factors of 8450

List of positive integer factors of 8450 that divides 8450 without a remainder.

1,2,5,10,13,25,26,50,65,130,169,325,338,650,845,1690,4225,8450

Greatest Common Factor

We found the factors 6764,8450 . The biggest common factor number is the GCF number.
So the greatest common factor 6764,8450 is 2.

Lets's calculate LCM of 899,623

Given numbers has no common factors except 1. So, there LCM is their product i.e 560077

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/560077

Therefore, the GCF of Fractions 6764/899,8450/623 is 2/560077

Least Common Multiple of 899,623 with GCF Formula

Least Common Multiple of 899,623 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 899,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,623) = 1

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

GCF(899,623) x common factors =1 x 1 = 1

LCM(899,623) = ( 899 × 623 ) / 1

LCM(899,623) = 560077 / 1

LCM(899,623) = 560077


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 6764/899, 8450/623

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 6764/899, 8450/623?

Answer: GCF of Numerators as per given numbers 6764/899, 8450/623 is

GCF of Numerators i.e. for 6764,8450 is 2

LCM of denominators i.e. for 899,623 is 560077.

Thus, GCF of Fractions is 2/560077.Finally, GCF of Fractions for 6764/899, 8450/623 is 2/560077.