Online GCD Calculator is useful to find the GCD of 370, 605, 523, 972 quickly. Get the easiest ways to solve the greatest common divisor of 370, 605, 523, 972 i.e 1 in different methods as follows.
Given Input numbers are 370, 605, 523, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 605 :
The positive integer divisors of 605 that completely divides 605 are.
1, 5, 11, 55, 121, 605
Divisors of 523 :
The positive integer divisors of 523 that completely divides 523 are.
1, 523
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 (370, 605, 523, 972) = 1.
Given numbers are 370, 605, 523, 972
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 605 are 5 x 11 x 11
Prime factors of 523 are 523
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 370, 605, 523, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 605) = 44770
GCD(370, 605) = ( 370 x 605 ) / 44770
= 370 / 605
= 370
Step2:
LCM(5, 523) = 2615
GCD(5, 523) = ( 5 x 523 ) / 2615
= 5 / 523
= 5
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 370, 605, 523, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 370, 605, 523, 972
The greatest common divisor of numbers 370, 605, 523, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 605, 523, 972 is 1.
1. What is the GCD of 370, 605, 523, 972?
GCD of given numbers 370, 605, 523, 972 is 1
2. How to calculate the greatest common divisor of 370, 605, 523, 972?
We can find the highest common divisor of 370, 605, 523, 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 370, 605, 523, 972 i.e 1.
3. How can I use the GCD of 370, 605, 523, 972Calculator?
Out the numbers 370, 605, 523, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.