Greatest Common Factor of 1490/527, 2043/5816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1490/527, 2043/5816

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 1490/527,2043/5816

Given fractions are 1490/527,2043/5816

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 1490,2043

Greatest Common Factor of Numerators i.e. GCF of 1490,2043 is 1 .

LCM of Denominators means LCM of 527,5816 as per the given fractions.

LCM of 527,5816 is 3065032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1490,2043

GCF of Fractions 1490/527,2043/5816 is 1/3065032

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

Greatest Common Factor of 1490,2043 By Matching Biggest Common Factor Method

Greatest Common Factor of 1490,2043 By Matching Biggest Common Factor Method

Factors of 1490

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

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

Factors of 2043

List of positive integer factors of 2043 that divides 2043 without a remainder.

1,3,9,227,681,2043

Greatest Common Factor

We found the factors 1490,2043 . The biggest common factor number is the GCF number.
So the greatest common factor 1490,2043 is 1.

Lets's calculate LCM of 527,5816

Given numbers has no common factors except 1. So, there LCM is their product i.e 3065032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3065032

Therefore, the GCF of Fractions 1490/527,2043/5816 is 1/3065032

Least Common Multiple of 527,5816 with GCF Formula

Least Common Multiple of 527,5816 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 527,5816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,5816) = 1

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

GCF(527,5816) x common factors =1 x 1 = 1

LCM(527,5816) = ( 527 × 5816 ) / 1

LCM(527,5816) = 3065032 / 1

LCM(527,5816) = 3065032


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 1490/527, 2043/5816

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 1490/527, 2043/5816?

Answer: GCF of Numerators as per given numbers 1490/527, 2043/5816 is

GCF of Numerators i.e. for 1490,2043 is 1

LCM of denominators i.e. for 527,5816 is 3065032.

Thus, GCF of Fractions is 1/3065032.Finally, GCF of Fractions for 1490/527, 2043/5816 is 1/3065032.