Greatest Common Factor of 889/30, 626/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 889/30, 626/789

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 889/30,626/789

Given fractions are 889/30,626/789

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 889,626

Greatest Common Factor of Numerators i.e. GCF of 889,626 is 1 .

LCM of Denominators means LCM of 30,789 as per the given fractions.

LCM of 30,789 is 7890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 889,626

GCF of Fractions 889/30,626/789 is 1/7890

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

Greatest Common Factor of 889,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,626 By Matching Biggest Common Factor Method

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 889,626 . The biggest common factor number is the GCF number.
So the greatest common factor 889,626 is 1.

Lets's calculate LCM of 30,789

3 30, 789
10, 263

∴ So the LCM of the given numbers is 3 x 10 x 263 = 7890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7890

Therefore, the GCF of Fractions 889/30,626/789 is 1/7890

Least Common Multiple of 30,789 with GCF Formula

Least Common Multiple of 30,789 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 30,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,789) = 3

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

GCF(30,789) x common factors =3 x 1 = 3

LCM(30,789) = ( 30 × 789 ) / 3

LCM(30,789) = 23670 / 3

LCM(30,789) = 7890


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 889/30, 626/789

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 889/30, 626/789?

Answer: GCF of Numerators as per given numbers 889/30, 626/789 is

GCF of Numerators i.e. for 889,626 is 1

LCM of denominators i.e. for 30,789 is 7890.

Thus, GCF of Fractions is 1/7890.Finally, GCF of Fractions for 889/30, 626/789 is 1/7890.