Greatest Common Factor of 4143/300, 1490/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4143/300, 1490/695

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 4143/300,1490/695

Given fractions are 4143/300,1490/695

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 4143,1490

Greatest Common Factor of Numerators i.e. GCF of 4143,1490 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 4143,1490

GCF of Fractions 4143/300,1490/695 is 1/41700

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

Greatest Common Factor of 4143,1490 By Matching Biggest Common Factor Method

Greatest Common Factor of 4143,1490 By Matching Biggest Common Factor Method

Factors of 4143

List of positive integer factors of 4143 that divides 4143 without a remainder.

1,3,1381,4143

Factors of 1490

List of positive integer factors of 1490 that divides 1490 without a remainder.

1,2,5,10,149,298,745,1490

Greatest Common Factor

We found the factors 4143,1490 . The biggest common factor number is the GCF number.
So the greatest common factor 4143,1490 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 4143/300,1490/695 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 4143/300, 1490/695

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 4143/300, 1490/695?

Answer: GCF of Numerators as per given numbers 4143/300, 1490/695 is

GCF of Numerators i.e. for 4143,1490 is 1

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

Thus, GCF of Fractions is 1/41700.Finally, GCF of Fractions for 4143/300, 1490/695 is 1/41700.