Greatest Common Factor of 810/686, 820/434, 855/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 810/686, 820/434, 855/403

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 810/686,820/434,855/403

Given fractions are 810/686,820/434,855/403

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 810,820,855

Greatest Common Factor of Numerators i.e. GCF of 810,820,855 is 5 .

LCM of Denominators means LCM of 686,434,403 as per the given fractions.

LCM of 686,434,403 is 276458 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 810,820,855

GCF of Fractions 810/686,820/434,855/403 is 5/276458

5 810, 820, 855
162, 164, 171

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

Greatest Common Factor of 810,820,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,820,855 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 810,820,855 . The biggest common factor number is the GCF number.
So the greatest common factor 810,820,855 is 5.

Lets's calculate LCM of 686,434,403

2 686, 434, 403
7 343, 217, 403
31 49, 31, 403
49, 1, 13

∴ So the LCM of the given numbers is 2 x 7 x 31 x 49 x 1 x 13 = 276458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/276458

Therefore, the GCF of Fractions 810/686,820/434,855/403 is 5/276458

Least Common Multiple of 686,434,403 with GCF Formula

Least Common Multiple of 686,434,403 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 686,434,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,434,403) = 1

common factors(in case of two or more numbers have common factors) = 434

GCF(686,434,403) x common factors =1 x 434 = 434

LCM(686,434,403) = ( 686 × 434 × 403 ) / 434

LCM(686,434,403) = 119982772 / 434

LCM(686,434,403) = 276458


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 810/686, 820/434, 855/403

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 810/686, 820/434, 855/403?

Answer: GCF of Numerators as per given numbers 810/686, 820/434, 855/403 is

GCF of Numerators i.e. for 810,820,855 is 5

LCM of denominators i.e. for 686,434,403 is 276458.

Thus, GCF of Fractions is 5/276458.Finally, GCF of Fractions for 810/686, 820/434, 855/403 is 5/276458.