Greatest Common Factor of 8309/224, 3990/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8309/224, 3990/290

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 8309/224,3990/290

Given fractions are 8309/224,3990/290

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 8309,3990

Greatest Common Factor of Numerators i.e. GCF of 8309,3990 is 7 .

LCM of Denominators means LCM of 224,290 as per the given fractions.

LCM of 224,290 is 32480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8309,3990

GCF of Fractions 8309/224,3990/290 is 7/32480

7 8309, 3990
1187, 570

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 8309,3990 By Matching Biggest Common Factor Method

Greatest Common Factor of 8309,3990 By Matching Biggest Common Factor Method

Factors of 8309

List of positive integer factors of 8309 that divides 8309 without a remainder.

1,7,1187,8309

Factors of 3990

List of positive integer factors of 3990 that divides 3990 without a remainder.

1,2,3,5,6,7,10,14,15,19,21,30,35,38,42,57,70,95,105,114,133,190,210,266,285,399,570,665,798,1330,1995,3990

Greatest Common Factor

We found the factors 8309,3990 . The biggest common factor number is the GCF number.
So the greatest common factor 8309,3990 is 7.

Lets's calculate LCM of 224,290

2 224, 290
112, 145

∴ So the LCM of the given numbers is 2 x 112 x 145 = 32480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/32480

Therefore, the GCF of Fractions 8309/224,3990/290 is 7/32480

Least Common Multiple of 224,290 with GCF Formula

Least Common Multiple of 224,290 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 224,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,290) = 2

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

GCF(224,290) x common factors =2 x 1 = 2

LCM(224,290) = ( 224 × 290 ) / 2

LCM(224,290) = 64960 / 2

LCM(224,290) = 32480


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 8309/224, 3990/290

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 8309/224, 3990/290?

Answer: GCF of Numerators as per given numbers 8309/224, 3990/290 is

GCF of Numerators i.e. for 8309,3990 is 7

LCM of denominators i.e. for 224,290 is 32480.

Thus, GCF of Fractions is 7/32480.Finally, GCF of Fractions for 8309/224, 3990/290 is 7/32480.