Greatest Common Factor of 8266/336, 5624/1489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8266/336, 5624/1489

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 8266/336,5624/1489

Given fractions are 8266/336,5624/1489

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 8266,5624

Greatest Common Factor of Numerators i.e. GCF of 8266,5624 is 2 .

LCM of Denominators means LCM of 336,1489 as per the given fractions.

LCM of 336,1489 is 500304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8266,5624

GCF of Fractions 8266/336,5624/1489 is 2/500304

2 8266, 5624
4133, 2812

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

Greatest Common Factor of 8266,5624 By Matching Biggest Common Factor Method

Greatest Common Factor of 8266,5624 By Matching Biggest Common Factor Method

Factors of 8266

List of positive integer factors of 8266 that divides 8266 without a remainder.

1,2,4133,8266

Factors of 5624

List of positive integer factors of 5624 that divides 5624 without a remainder.

1,2,4,8,19,37,38,74,76,148,152,296,703,1406,2812,5624

Greatest Common Factor

We found the factors 8266,5624 . The biggest common factor number is the GCF number.
So the greatest common factor 8266,5624 is 2.

Lets's calculate LCM of 336,1489

Given numbers has no common factors except 1. So, there LCM is their product i.e 500304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/500304

Therefore, the GCF of Fractions 8266/336,5624/1489 is 2/500304

Least Common Multiple of 336,1489 with GCF Formula

Least Common Multiple of 336,1489 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 336,1489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,1489) = 1

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

GCF(336,1489) x common factors =1 x 1 = 1

LCM(336,1489) = ( 336 × 1489 ) / 1

LCM(336,1489) = 500304 / 1

LCM(336,1489) = 500304


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 8266/336, 5624/1489

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 8266/336, 5624/1489?

Answer: GCF of Numerators as per given numbers 8266/336, 5624/1489 is

GCF of Numerators i.e. for 8266,5624 is 2

LCM of denominators i.e. for 336,1489 is 500304.

Thus, GCF of Fractions is 2/500304.Finally, GCF of Fractions for 8266/336, 5624/1489 is 2/500304.