Greatest Common Factor of 822/315, 238/986, 429/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 822/315, 238/986, 429/554

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 822/315,238/986,429/554

Given fractions are 822/315,238/986,429/554

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 822,238,429

Greatest Common Factor of Numerators i.e. GCF of 822,238,429 is 1 .

LCM of Denominators means LCM of 315,986,554 as per the given fractions.

LCM of 315,986,554 is 86033430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 822,238,429

GCF of Fractions 822/315,238/986,429/554 is 1/86033430

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

Greatest Common Factor of 822,238,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,238,429 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 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 822,238,429 . The biggest common factor number is the GCF number.
So the greatest common factor 822,238,429 is 1.

Lets's calculate LCM of 315,986,554

2 315, 986, 554
315, 493, 277

∴ So the LCM of the given numbers is 2 x 315 x 493 x 277 = 86033430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86033430

Therefore, the GCF of Fractions 822/315,238/986,429/554 is 1/86033430

Least Common Multiple of 315,986,554 with GCF Formula

Least Common Multiple of 315,986,554 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 315,986,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,986,554) = 1

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

GCF(315,986,554) x common factors =1 x 2 = 2

LCM(315,986,554) = ( 315 × 986 × 554 ) / 2

LCM(315,986,554) = 172066860 / 2

LCM(315,986,554) = 86033430


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 822/315, 238/986, 429/554

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 822/315, 238/986, 429/554?

Answer: GCF of Numerators as per given numbers 822/315, 238/986, 429/554 is

GCF of Numerators i.e. for 822,238,429 is 1

LCM of denominators i.e. for 315,986,554 is 86033430.

Thus, GCF of Fractions is 1/86033430.Finally, GCF of Fractions for 822/315, 238/986, 429/554 is 1/86033430.