Greatest Common Factor of 270/836, 830/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 270/836, 830/687

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 270/836,830/687

Given fractions are 270/836,830/687

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 270,830

Greatest Common Factor of Numerators i.e. GCF of 270,830 is 10 .

LCM of Denominators means LCM of 836,687 as per the given fractions.

LCM of 836,687 is 574332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 270,830

GCF of Fractions 270/836,830/687 is 10/574332

2 270, 830
5 135, 415
27, 83

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 270,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,830 By Matching Biggest Common Factor Method

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

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 270,830 . The biggest common factor number is the GCF number.
So the greatest common factor 270,830 is 10.

Lets's calculate LCM of 836,687

Given numbers has no common factors except 1. So, there LCM is their product i.e 574332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/574332

Therefore, the GCF of Fractions 270/836,830/687 is 10/574332

Least Common Multiple of 836,687 with GCF Formula

Least Common Multiple of 836,687 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 836,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,687) = 1

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

GCF(836,687) x common factors =1 x 1 = 1

LCM(836,687) = ( 836 × 687 ) / 1

LCM(836,687) = 574332 / 1

LCM(836,687) = 574332


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 270/836, 830/687

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 270/836, 830/687?

Answer: GCF of Numerators as per given numbers 270/836, 830/687 is

GCF of Numerators i.e. for 270,830 is 10

LCM of denominators i.e. for 836,687 is 574332.

Thus, GCF of Fractions is 10/574332.Finally, GCF of Fractions for 270/836, 830/687 is 10/574332.