Online GCD Calculator is useful to find the GCD of 437, 675, 972, 977 quickly. Get the easiest ways to solve the greatest common divisor of 437, 675, 972, 977 i.e 1 in different methods as follows.
Given Input numbers are 437, 675, 972, 977
In the factoring method, we have to find the divisors of all numbers
Divisors of 437 :
The positive integer divisors of 437 that completely divides 437 are.
1, 19, 23, 437
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
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 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
GCD of numbers is the greatest common divisor
So, the GCD (437, 675, 972, 977) = 1.
Given numbers are 437, 675, 972, 977
The list of prime factors of all numbers are
Prime factors of 437 are 19 x 23
Prime factors of 675 are 3 x 3 x 3 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 977 are 977
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 437, 675, 972, 977
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(437, 675) = 294975
GCD(437, 675) = ( 437 x 675 ) / 294975
= 437 / 675
= 437
Step2:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
Step3:
LCM(1, 977) = 977
GCD(1, 977) = ( 1 x 977 ) / 977
= 1 / 977
= 1
So, Greatest Common Divisor of 437, 675, 972, 977 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 437, 675, 972, 977
The greatest common divisor of numbers 437, 675, 972, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 437, 675, 972, 977 is 1.
1. What is the GCD of 437, 675, 972, 977?
GCD of given numbers 437, 675, 972, 977 is 1
2. How to calculate the greatest common divisor of 437, 675, 972, 977?
We can find the highest common divisor of 437, 675, 972, 977 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 437, 675, 972, 977 i.e 1.
3. How can I use the GCD of 437, 675, 972, 977Calculator?
Out the numbers 437, 675, 972, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.