Greatest Common Factor of 694/19, 272/70, 620/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 694/19, 272/70, 620/839

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 694/19,272/70,620/839

Given fractions are 694/19,272/70,620/839

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 694,272,620

Greatest Common Factor of Numerators i.e. GCF of 694,272,620 is 2 .

LCM of Denominators means LCM of 19,70,839 as per the given fractions.

LCM of 19,70,839 is 1115870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 694,272,620

GCF of Fractions 694/19,272/70,620/839 is 2/1115870

2 694, 272, 620
347, 136, 310

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

Greatest Common Factor of 694,272,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,272,620 By Matching Biggest Common Factor Method

Factors of 694

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

1,2,347,694

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 694,272,620 . The biggest common factor number is the GCF number.
So the greatest common factor 694,272,620 is 2.

Lets's calculate LCM of 19,70,839

Given numbers has no common factors except 1. So, there LCM is their product i.e 1115870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1115870

Therefore, the GCF of Fractions 694/19,272/70,620/839 is 2/1115870

Least Common Multiple of 19,70,839 with GCF Formula

Least Common Multiple of 19,70,839 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 19,70,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,70,839) = 1

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

GCF(19,70,839) x common factors =1 x 1 = 1

LCM(19,70,839) = ( 19 × 70 × 839 ) / 1

LCM(19,70,839) = 1115870 / 1

LCM(19,70,839) = 1115870


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 694/19, 272/70, 620/839

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 694/19, 272/70, 620/839?

Answer: GCF of Numerators as per given numbers 694/19, 272/70, 620/839 is

GCF of Numerators i.e. for 694,272,620 is 2

LCM of denominators i.e. for 19,70,839 is 1115870.

Thus, GCF of Fractions is 2/1115870.Finally, GCF of Fractions for 694/19, 272/70, 620/839 is 2/1115870.