Greatest Common Factor of 389/300, 420/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 389/300, 420/695

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 389/300,420/695

Given fractions are 389/300,420/695

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 389,420

Greatest Common Factor of Numerators i.e. GCF of 389,420 is 1 .

LCM of Denominators means LCM of 300,695 as per the given fractions.

LCM of 300,695 is 41700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 389,420

GCF of Fractions 389/300,420/695 is 1/41700

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

Greatest Common Factor of 389,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,420 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 389,420 . The biggest common factor number is the GCF number.
So the greatest common factor 389,420 is 1.

Lets's calculate LCM of 300,695

5 300, 695
60, 139

∴ So the LCM of the given numbers is 5 x 60 x 139 = 41700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41700

Therefore, the GCF of Fractions 389/300,420/695 is 1/41700

Least Common Multiple of 300,695 with GCF Formula

Least Common Multiple of 300,695 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 300,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,695) = 5

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

GCF(300,695) x common factors =5 x 1 = 5

LCM(300,695) = ( 300 × 695 ) / 5

LCM(300,695) = 208500 / 5

LCM(300,695) = 41700


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 389/300, 420/695

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 389/300, 420/695?

Answer: GCF of Numerators as per given numbers 389/300, 420/695 is

GCF of Numerators i.e. for 389,420 is 1

LCM of denominators i.e. for 300,695 is 41700.

Thus, GCF of Fractions is 1/41700.Finally, GCF of Fractions for 389/300, 420/695 is 1/41700.