Online GCD Calculator is useful to find the GCD of 201, 252, 278, 972 quickly. Get the easiest ways to solve the greatest common divisor of 201, 252, 278, 972 i.e 1 in different methods as follows.
Given Input numbers are 201, 252, 278, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 201 :
The positive integer divisors of 201 that completely divides 201 are.
1, 3, 67, 201
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
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
GCD of numbers is the greatest common divisor
So, the GCD (201, 252, 278, 972) = 1.
Given numbers are 201, 252, 278, 972
The list of prime factors of all numbers are
Prime factors of 201 are 3 x 67
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 278 are 2 x 139
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 201, 252, 278, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(201, 252) = 16884
GCD(201, 252) = ( 201 x 252 ) / 16884
= 201 / 252
= 201
Step2:
LCM(3, 278) = 834
GCD(3, 278) = ( 3 x 278 ) / 834
= 3 / 278
= 3
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 201, 252, 278, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 201, 252, 278, 972
The greatest common divisor of numbers 201, 252, 278, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 201, 252, 278, 972 is 1.
1. What is the GCD of 201, 252, 278, 972?
GCD of given numbers 201, 252, 278, 972 is 1
2. How to calculate the greatest common divisor of 201, 252, 278, 972?
We can find the highest common divisor of 201, 252, 278, 972 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 201, 252, 278, 972 i.e 1.
3. How can I use the GCD of 201, 252, 278, 972Calculator?
Out the numbers 201, 252, 278, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.