Online GCD Calculator is useful to find the GCD of 100, 565, 200, 801 quickly. Get the easiest ways to solve the greatest common divisor of 100, 565, 200, 801 i.e 1 in different methods as follows.
Given Input numbers are 100, 565, 200, 801
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 565 :
The positive integer divisors of 565 that completely divides 565 are.
1, 5, 113, 565
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 801 :
The positive integer divisors of 801 that completely divides 801 are.
1, 3, 9, 89, 267, 801
GCD of numbers is the greatest common divisor
So, the GCD (100, 565, 200, 801) = 1.
Given numbers are 100, 565, 200, 801
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 565 are 5 x 113
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 801 are 3 x 3 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 565, 200, 801
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 565) = 11300
GCD(100, 565) = ( 100 x 565 ) / 11300
= 100 / 565
= 100
Step2:
LCM(5, 200) = 200
GCD(5, 200) = ( 5 x 200 ) / 200
= 5 / 200
= 5
Step3:
LCM(5, 801) = 4005
GCD(5, 801) = ( 5 x 801 ) / 4005
= 5 / 801
= 5
So, Greatest Common Divisor of 100, 565, 200, 801 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 565, 200, 801
The greatest common divisor of numbers 100, 565, 200, 801 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 565, 200, 801 is 1.
1. What is the GCD of 100, 565, 200, 801?
GCD of given numbers 100, 565, 200, 801 is 1
2. How to calculate the greatest common divisor of 100, 565, 200, 801?
We can find the highest common divisor of 100, 565, 200, 801 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 100, 565, 200, 801 i.e 1.
3. How can I use the GCD of 100, 565, 200, 801Calculator?
Out the numbers 100, 565, 200, 801 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.