Greatest Common Factor of 340/14, 1195/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 340/14, 1195/643

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 340/14,1195/643

Given fractions are 340/14,1195/643

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 340,1195

Greatest Common Factor of Numerators i.e. GCF of 340,1195 is 5 .

LCM of Denominators means LCM of 14,643 as per the given fractions.

LCM of 14,643 is 9002 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 340,1195

GCF of Fractions 340/14,1195/643 is 5/9002

5 340, 1195
68, 239

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 340,1195 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,1195 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 1195

List of positive integer factors of 1195 that divides 1195 without a remainder.

1,5,239,1195

Greatest Common Factor

We found the factors 340,1195 . The biggest common factor number is the GCF number.
So the greatest common factor 340,1195 is 5.

Lets's calculate LCM of 14,643

Given numbers has no common factors except 1. So, there LCM is their product i.e 9002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9002

Therefore, the GCF of Fractions 340/14,1195/643 is 5/9002

Least Common Multiple of 14,643 with GCF Formula

Least Common Multiple of 14,643 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 14,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,643) = 1

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

GCF(14,643) x common factors =1 x 1 = 1

LCM(14,643) = ( 14 × 643 ) / 1

LCM(14,643) = 9002 / 1

LCM(14,643) = 9002


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 340/14, 1195/643

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 340/14, 1195/643?

Answer: GCF of Numerators as per given numbers 340/14, 1195/643 is

GCF of Numerators i.e. for 340,1195 is 5

LCM of denominators i.e. for 14,643 is 9002.

Thus, GCF of Fractions is 5/9002.Finally, GCF of Fractions for 340/14, 1195/643 is 5/9002.