Greatest Common Factor of 1820/40, 5505/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1820/40, 5505/800

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 1820/40,5505/800

Given fractions are 1820/40,5505/800

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 1820,5505

Greatest Common Factor of Numerators i.e. GCF of 1820,5505 is 5 .

LCM of Denominators means LCM of 40,800 as per the given fractions.

LCM of 40,800 is 800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1820,5505

GCF of Fractions 1820/40,5505/800 is 5/800

5 1820, 5505
364, 1101

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1820,5505 By Matching Biggest Common Factor Method

Greatest Common Factor of 1820,5505 By Matching Biggest Common Factor Method

Factors of 1820

List of positive integer factors of 1820 that divides 1820 without a remainder.

1,2,4,5,7,10,13,14,20,26,28,35,52,65,70,91,130,140,182,260,364,455,910,1820

Factors of 5505

List of positive integer factors of 5505 that divides 5505 without a remainder.

1,3,5,15,367,1101,1835,5505

Greatest Common Factor

We found the factors 1820,5505 . The biggest common factor number is the GCF number.
So the greatest common factor 1820,5505 is 5.

Lets's calculate LCM of 40,800

2 40, 800
2 20, 400
2 10, 200
5 5, 100
1, 20

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 20 = 800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/800

Therefore, the GCF of Fractions 1820/40,5505/800 is 5/800

Least Common Multiple of 40,800 with GCF Formula

Least Common Multiple of 40,800 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 40,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,800) = 40

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

GCF(40,800) x common factors =40 x 1 = 40

LCM(40,800) = ( 40 × 800 ) / 40

LCM(40,800) = 32000 / 40

LCM(40,800) = 800


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 1820/40, 5505/800

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 1820/40, 5505/800?

Answer: GCF of Numerators as per given numbers 1820/40, 5505/800 is

GCF of Numerators i.e. for 1820,5505 is 5

LCM of denominators i.e. for 40,800 is 800.

Thus, GCF of Fractions is 5/800.Finally, GCF of Fractions for 1820/40, 5505/800 is 5/800.