Greatest Common Factor of 3562/899, 5922/1808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3562/899, 5922/1808

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 3562/899,5922/1808

Given fractions are 3562/899,5922/1808

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 3562,5922

Greatest Common Factor of Numerators i.e. GCF of 3562,5922 is 2 .

LCM of Denominators means LCM of 899,1808 as per the given fractions.

LCM of 899,1808 is 1625392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3562,5922

GCF of Fractions 3562/899,5922/1808 is 2/1625392

2 3562, 5922
1781, 2961

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

Greatest Common Factor of 3562,5922 By Matching Biggest Common Factor Method

Greatest Common Factor of 3562,5922 By Matching Biggest Common Factor Method

Factors of 3562

List of positive integer factors of 3562 that divides 3562 without a remainder.

1,2,13,26,137,274,1781,3562

Factors of 5922

List of positive integer factors of 5922 that divides 5922 without a remainder.

1,2,3,6,7,9,14,18,21,42,47,63,94,126,141,282,329,423,658,846,987,1974,2961,5922

Greatest Common Factor

We found the factors 3562,5922 . The biggest common factor number is the GCF number.
So the greatest common factor 3562,5922 is 2.

Lets's calculate LCM of 899,1808

Given numbers has no common factors except 1. So, there LCM is their product i.e 1625392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1625392

Therefore, the GCF of Fractions 3562/899,5922/1808 is 2/1625392

Least Common Multiple of 899,1808 with GCF Formula

Least Common Multiple of 899,1808 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 899,1808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,1808) = 1

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

GCF(899,1808) x common factors =1 x 1 = 1

LCM(899,1808) = ( 899 × 1808 ) / 1

LCM(899,1808) = 1625392 / 1

LCM(899,1808) = 1625392


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 3562/899, 5922/1808

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 3562/899, 5922/1808?

Answer: GCF of Numerators as per given numbers 3562/899, 5922/1808 is

GCF of Numerators i.e. for 3562,5922 is 2

LCM of denominators i.e. for 899,1808 is 1625392.

Thus, GCF of Fractions is 2/1625392.Finally, GCF of Fractions for 3562/899, 5922/1808 is 2/1625392.