Online GCD Calculator is useful to find the GCD of 203, 200, 972, 629 quickly. Get the easiest ways to solve the greatest common divisor of 203, 200, 972, 629 i.e 1 in different methods as follows.
Given Input numbers are 203, 200, 972, 629
In the factoring method, we have to find the divisors of all numbers
Divisors of 203 :
The positive integer divisors of 203 that completely divides 203 are.
1, 7, 29, 203
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 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 629 :
The positive integer divisors of 629 that completely divides 629 are.
1, 17, 37, 629
GCD of numbers is the greatest common divisor
So, the GCD (203, 200, 972, 629) = 1.
Given numbers are 203, 200, 972, 629
The list of prime factors of all numbers are
Prime factors of 203 are 7 x 29
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 629 are 17 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 203, 200, 972, 629
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(203, 200) = 40600
GCD(203, 200) = ( 203 x 200 ) / 40600
= 203 / 200
= 203
Step2:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
Step3:
LCM(1, 629) = 629
GCD(1, 629) = ( 1 x 629 ) / 629
= 1 / 629
= 1
So, Greatest Common Divisor of 203, 200, 972, 629 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 203, 200, 972, 629
The greatest common divisor of numbers 203, 200, 972, 629 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 203, 200, 972, 629 is 1.
1. What is the GCD of 203, 200, 972, 629?
GCD of given numbers 203, 200, 972, 629 is 1
2. How to calculate the greatest common divisor of 203, 200, 972, 629?
We can find the highest common divisor of 203, 200, 972, 629 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 203, 200, 972, 629 i.e 1.
3. How can I use the GCD of 203, 200, 972, 629Calculator?
Out the numbers 203, 200, 972, 629 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.