Greatest Common Factor of 406/22, 694/19, 628/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 406/22, 694/19, 628/835

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 406/22,694/19,628/835

Given fractions are 406/22,694/19,628/835

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 406,694,628

Greatest Common Factor of Numerators i.e. GCF of 406,694,628 is 2 .

LCM of Denominators means LCM of 22,19,835 as per the given fractions.

LCM of 22,19,835 is 349030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 406,694,628

GCF of Fractions 406/22,694/19,628/835 is 2/349030

2 406, 694, 628
203, 347, 314

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 406,694,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,694,628 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 406,694,628 . The biggest common factor number is the GCF number.
So the greatest common factor 406,694,628 is 2.

Lets's calculate LCM of 22,19,835

Given numbers has no common factors except 1. So, there LCM is their product i.e 349030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/349030

Therefore, the GCF of Fractions 406/22,694/19,628/835 is 2/349030

Least Common Multiple of 22,19,835 with GCF Formula

Least Common Multiple of 22,19,835 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 22,19,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,19,835) = 1

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

GCF(22,19,835) x common factors =1 x 1 = 1

LCM(22,19,835) = ( 22 × 19 × 835 ) / 1

LCM(22,19,835) = 349030 / 1

LCM(22,19,835) = 349030


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 406/22, 694/19, 628/835

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 406/22, 694/19, 628/835?

Answer: GCF of Numerators as per given numbers 406/22, 694/19, 628/835 is

GCF of Numerators i.e. for 406,694,628 is 2

LCM of denominators i.e. for 22,19,835 is 349030.

Thus, GCF of Fractions is 2/349030.Finally, GCF of Fractions for 406/22, 694/19, 628/835 is 2/349030.