Greatest Common Factor of 234/14, 680/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 234/14, 680/605

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 234/14,680/605

Given fractions are 234/14,680/605

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 234,680

Greatest Common Factor of Numerators i.e. GCF of 234,680 is 2 .

LCM of Denominators means LCM of 14,605 as per the given fractions.

LCM of 14,605 is 8470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 234,680

GCF of Fractions 234/14,680/605 is 2/8470

2 234, 680
117, 340

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

Greatest Common Factor of 234,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,680 By Matching Biggest Common Factor Method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 234,680 . The biggest common factor number is the GCF number.
So the greatest common factor 234,680 is 2.

Lets's calculate LCM of 14,605

Given numbers has no common factors except 1. So, there LCM is their product i.e 8470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8470

Therefore, the GCF of Fractions 234/14,680/605 is 2/8470

Least Common Multiple of 14,605 with GCF Formula

Least Common Multiple of 14,605 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 14,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,605) = 1

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

GCF(14,605) x common factors =1 x 1 = 1

LCM(14,605) = ( 14 × 605 ) / 1

LCM(14,605) = 8470 / 1

LCM(14,605) = 8470


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 234/14, 680/605

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 234/14, 680/605?

Answer: GCF of Numerators as per given numbers 234/14, 680/605 is

GCF of Numerators i.e. for 234,680 is 2

LCM of denominators i.e. for 14,605 is 8470.

Thus, GCF of Fractions is 2/8470.Finally, GCF of Fractions for 234/14, 680/605 is 2/8470.