Greatest Common Factor of 3624/998, 1418/1822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3624/998, 1418/1822

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 3624/998,1418/1822

Given fractions are 3624/998,1418/1822

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 3624,1418

Greatest Common Factor of Numerators i.e. GCF of 3624,1418 is 2 .

LCM of Denominators means LCM of 998,1822 as per the given fractions.

LCM of 998,1822 is 909178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3624,1418

GCF of Fractions 3624/998,1418/1822 is 2/909178

2 3624, 1418
1812, 709

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

Greatest Common Factor of 3624,1418 By Matching Biggest Common Factor Method

Greatest Common Factor of 3624,1418 By Matching Biggest Common Factor Method

Factors of 3624

List of positive integer factors of 3624 that divides 3624 without a remainder.

1,2,3,4,6,8,12,24,151,302,453,604,906,1208,1812,3624

Factors of 1418

List of positive integer factors of 1418 that divides 1418 without a remainder.

1,2,709,1418

Greatest Common Factor

We found the factors 3624,1418 . The biggest common factor number is the GCF number.
So the greatest common factor 3624,1418 is 2.

Lets's calculate LCM of 998,1822

2 998, 1822
499, 911

∴ So the LCM of the given numbers is 2 x 499 x 911 = 909178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/909178

Therefore, the GCF of Fractions 3624/998,1418/1822 is 2/909178

Least Common Multiple of 998,1822 with GCF Formula

Least Common Multiple of 998,1822 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 998,1822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,1822) = 2

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

GCF(998,1822) x common factors =2 x 1 = 2

LCM(998,1822) = ( 998 × 1822 ) / 2

LCM(998,1822) = 1818356 / 2

LCM(998,1822) = 909178


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 3624/998, 1418/1822

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 3624/998, 1418/1822?

Answer: GCF of Numerators as per given numbers 3624/998, 1418/1822 is

GCF of Numerators i.e. for 3624,1418 is 2

LCM of denominators i.e. for 998,1822 is 909178.

Thus, GCF of Fractions is 2/909178.Finally, GCF of Fractions for 3624/998, 1418/1822 is 2/909178.