Greatest Common Factor of 665/13, 238/1780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 665/13, 238/1780

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 665/13,238/1780

Given fractions are 665/13,238/1780

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 665,238

Greatest Common Factor of Numerators i.e. GCF of 665,238 is 7 .

LCM of Denominators means LCM of 13,1780 as per the given fractions.

LCM of 13,1780 is 23140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 665,238

GCF of Fractions 665/13,238/1780 is 7/23140

7 665, 238
95, 34

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

Greatest Common Factor of 665,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,238 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 665,238 . The biggest common factor number is the GCF number.
So the greatest common factor 665,238 is 7.

Lets's calculate LCM of 13,1780

Given numbers has no common factors except 1. So, there LCM is their product i.e 23140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/23140

Therefore, the GCF of Fractions 665/13,238/1780 is 7/23140

Least Common Multiple of 13,1780 with GCF Formula

Least Common Multiple of 13,1780 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 13,1780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,1780) = 1

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

GCF(13,1780) x common factors =1 x 1 = 1

LCM(13,1780) = ( 13 × 1780 ) / 1

LCM(13,1780) = 23140 / 1

LCM(13,1780) = 23140


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 665/13, 238/1780

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 665/13, 238/1780?

Answer: GCF of Numerators as per given numbers 665/13, 238/1780 is

GCF of Numerators i.e. for 665,238 is 7

LCM of denominators i.e. for 13,1780 is 23140.

Thus, GCF of Fractions is 7/23140.Finally, GCF of Fractions for 665/13, 238/1780 is 7/23140.