Online GCD Calculator is useful to find the GCD of 800, 575, 202, 220 quickly. Get the easiest ways to solve the greatest common divisor of 800, 575, 202, 220 i.e 1 in different methods as follows.
Given Input numbers are 800, 575, 202, 220
In the factoring method, we have to find the divisors of all numbers
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 575 :
The positive integer divisors of 575 that completely divides 575 are.
1, 5, 23, 25, 115, 575
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
GCD of numbers is the greatest common divisor
So, the GCD (800, 575, 202, 220) = 1.
Given numbers are 800, 575, 202, 220
The list of prime factors of all numbers are
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 575 are 5 x 5 x 23
Prime factors of 202 are 2 x 101
Prime factors of 220 are 2 x 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 800, 575, 202, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 575) = 18400
GCD(800, 575) = ( 800 x 575 ) / 18400
= 800 / 575
= 800
Step2:
LCM(25, 202) = 5050
GCD(25, 202) = ( 25 x 202 ) / 5050
= 25 / 202
= 25
Step3:
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
= 1 / 220
= 1
So, Greatest Common Divisor of 800, 575, 202, 220 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 575, 202, 220
The greatest common divisor of numbers 800, 575, 202, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 575, 202, 220 is 1.
1. What is the GCD of 800, 575, 202, 220?
GCD of given numbers 800, 575, 202, 220 is 1
2. How to calculate the greatest common divisor of 800, 575, 202, 220?
We can find the highest common divisor of 800, 575, 202, 220 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 800, 575, 202, 220 i.e 1.
3. How can I use the GCD of 800, 575, 202, 220Calculator?
Out the numbers 800, 575, 202, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.