Online GCD Calculator is useful to find the GCD of 500, 772, 505, 637 quickly. Get the easiest ways to solve the greatest common divisor of 500, 772, 505, 637 i.e 1 in different methods as follows.
Given Input numbers are 500, 772, 505, 637
In the factoring method, we have to find the divisors of all numbers
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
Divisors of 637 :
The positive integer divisors of 637 that completely divides 637 are.
1, 7, 13, 49, 91, 637
GCD of numbers is the greatest common divisor
So, the GCD (500, 772, 505, 637) = 1.
Given numbers are 500, 772, 505, 637
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 772 are 2 x 2 x 193
Prime factors of 505 are 5 x 101
Prime factors of 637 are 7 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 500, 772, 505, 637
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 772) = 96500
GCD(500, 772) = ( 500 x 772 ) / 96500
= 500 / 772
= 500
Step2:
LCM(4, 505) = 2020
GCD(4, 505) = ( 4 x 505 ) / 2020
= 4 / 505
= 4
Step3:
LCM(1, 637) = 637
GCD(1, 637) = ( 1 x 637 ) / 637
= 1 / 637
= 1
So, Greatest Common Divisor of 500, 772, 505, 637 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 772, 505, 637
The greatest common divisor of numbers 500, 772, 505, 637 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 772, 505, 637 is 1.
1. What is the GCD of 500, 772, 505, 637?
GCD of given numbers 500, 772, 505, 637 is 1
2. How to calculate the greatest common divisor of 500, 772, 505, 637?
We can find the highest common divisor of 500, 772, 505, 637 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 500, 772, 505, 637 i.e 1.
3. How can I use the GCD of 500, 772, 505, 637Calculator?
Out the numbers 500, 772, 505, 637 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.