Greatest Common Factor of 878/850, 8213/1326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 878/850, 8213/1326

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 878/850,8213/1326

Given fractions are 878/850,8213/1326

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 878,8213

Greatest Common Factor of Numerators i.e. GCF of 878,8213 is 1 .

LCM of Denominators means LCM of 850,1326 as per the given fractions.

LCM of 850,1326 is 33150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 878,8213

GCF of Fractions 878/850,8213/1326 is 1/33150

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 878,8213 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,8213 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 8213

List of positive integer factors of 8213 that divides 8213 without a remainder.

1,43,191,8213

Greatest Common Factor

We found the factors 878,8213 . The biggest common factor number is the GCF number.
So the greatest common factor 878,8213 is 1.

Lets's calculate LCM of 850,1326

2 850, 1326
17 425, 663
25, 39

∴ So the LCM of the given numbers is 2 x 17 x 25 x 39 = 33150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33150

Therefore, the GCF of Fractions 878/850,8213/1326 is 1/33150

Least Common Multiple of 850,1326 with GCF Formula

Least Common Multiple of 850,1326 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 850,1326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,1326) = 34

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

GCF(850,1326) x common factors =34 x 1 = 34

LCM(850,1326) = ( 850 × 1326 ) / 34

LCM(850,1326) = 1127100 / 34

LCM(850,1326) = 33150


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 878/850, 8213/1326

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 878/850, 8213/1326?

Answer: GCF of Numerators as per given numbers 878/850, 8213/1326 is

GCF of Numerators i.e. for 878,8213 is 1

LCM of denominators i.e. for 850,1326 is 33150.

Thus, GCF of Fractions is 1/33150.Finally, GCF of Fractions for 878/850, 8213/1326 is 1/33150.