Greatest Common Factor of 814/61, 270/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 814/61, 270/197

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 814/61,270/197

Given fractions are 814/61,270/197

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 814,270

Greatest Common Factor of Numerators i.e. GCF of 814,270 is 2 .

LCM of Denominators means LCM of 61,197 as per the given fractions.

LCM of 61,197 is 12017 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 814,270

GCF of Fractions 814/61,270/197 is 2/12017

2 814, 270
407, 135

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

Greatest Common Factor of 814,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,270 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 814,270 . The biggest common factor number is the GCF number.
So the greatest common factor 814,270 is 2.

Lets's calculate LCM of 61,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 12017

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12017

Therefore, the GCF of Fractions 814/61,270/197 is 2/12017

Least Common Multiple of 61,197 with GCF Formula

Least Common Multiple of 61,197 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 61,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,197) = 1

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

GCF(61,197) x common factors =1 x 1 = 1

LCM(61,197) = ( 61 × 197 ) / 1

LCM(61,197) = 12017 / 1

LCM(61,197) = 12017


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 814/61, 270/197

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 814/61, 270/197?

Answer: GCF of Numerators as per given numbers 814/61, 270/197 is

GCF of Numerators i.e. for 814,270 is 2

LCM of denominators i.e. for 61,197 is 12017.

Thus, GCF of Fractions is 2/12017.Finally, GCF of Fractions for 814/61, 270/197 is 2/12017.