Greatest Common Factor of 822/39, 525/67, 338/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 822/39, 525/67, 338/218

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 822/39,525/67,338/218

Given fractions are 822/39,525/67,338/218

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 822,525,338

Greatest Common Factor of Numerators i.e. GCF of 822,525,338 is 1 .

LCM of Denominators means LCM of 39,67,218 as per the given fractions.

LCM of 39,67,218 is 569634 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 822,525,338

GCF of Fractions 822/39,525/67,338/218 is 1/569634

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

Greatest Common Factor of 822,525,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,525,338 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 822,525,338 . The biggest common factor number is the GCF number.
So the greatest common factor 822,525,338 is 1.

Lets's calculate LCM of 39,67,218

Given numbers has no common factors except 1. So, there LCM is their product i.e 569634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/569634

Therefore, the GCF of Fractions 822/39,525/67,338/218 is 1/569634

Least Common Multiple of 39,67,218 with GCF Formula

Least Common Multiple of 39,67,218 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 39,67,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,67,218) = 1

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

GCF(39,67,218) x common factors =1 x 1 = 1

LCM(39,67,218) = ( 39 × 67 × 218 ) / 1

LCM(39,67,218) = 569634 / 1

LCM(39,67,218) = 569634


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 822/39, 525/67, 338/218

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 822/39, 525/67, 338/218?

Answer: GCF of Numerators as per given numbers 822/39, 525/67, 338/218 is

GCF of Numerators i.e. for 822,525,338 is 1

LCM of denominators i.e. for 39,67,218 is 569634.

Thus, GCF of Fractions is 1/569634.Finally, GCF of Fractions for 822/39, 525/67, 338/218 is 1/569634.