Greatest Common Factor of 266/81, 686/34, 315/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 266/81, 686/34, 315/830

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 266/81,686/34,315/830

Given fractions are 266/81,686/34,315/830

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 266,686,315

Greatest Common Factor of Numerators i.e. GCF of 266,686,315 is 7 .

LCM of Denominators means LCM of 81,34,830 as per the given fractions.

LCM of 81,34,830 is 1142910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 266,686,315

GCF of Fractions 266/81,686/34,315/830 is 7/1142910

7 266, 686, 315
38, 98, 45

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

Greatest Common Factor of 266,686,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,686,315 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 266,686,315 . The biggest common factor number is the GCF number.
So the greatest common factor 266,686,315 is 7.

Lets's calculate LCM of 81,34,830

2 81, 34, 830
81, 17, 415

∴ So the LCM of the given numbers is 2 x 81 x 17 x 415 = 1142910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1142910

Therefore, the GCF of Fractions 266/81,686/34,315/830 is 7/1142910

Least Common Multiple of 81,34,830 with GCF Formula

Least Common Multiple of 81,34,830 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 81,34,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,34,830) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(81,34,830) x common factors =1 x 2 = 2

LCM(81,34,830) = ( 81 × 34 × 830 ) / 2

LCM(81,34,830) = 2285820 / 2

LCM(81,34,830) = 1142910


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 266/81, 686/34, 315/830

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 266/81, 686/34, 315/830?

Answer: GCF of Numerators as per given numbers 266/81, 686/34, 315/830 is

GCF of Numerators i.e. for 266,686,315 is 7

LCM of denominators i.e. for 81,34,830 is 1142910.

Thus, GCF of Fractions is 7/1142910.Finally, GCF of Fractions for 266/81, 686/34, 315/830 is 7/1142910.