Online GCD Calculator is useful to find the GCD of 972, 221, 616, 370 quickly. Get the easiest ways to solve the greatest common divisor of 972, 221, 616, 370 i.e 1 in different methods as follows.
Given Input numbers are 972, 221, 616, 370
In the factoring method, we have to find the divisors of all numbers
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 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
GCD of numbers is the greatest common divisor
So, the GCD (972, 221, 616, 370) = 1.
Given numbers are 972, 221, 616, 370
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 221 are 13 x 17
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 370 are 2 x 5 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 221, 616, 370
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 221) = 214812
GCD(972, 221) = ( 972 x 221 ) / 214812
= 972 / 221
= 972
Step2:
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
= 1 / 616
= 1
Step3:
LCM(1, 370) = 370
GCD(1, 370) = ( 1 x 370 ) / 370
= 1 / 370
= 1
So, Greatest Common Divisor of 972, 221, 616, 370 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 221, 616, 370
The greatest common divisor of numbers 972, 221, 616, 370 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 221, 616, 370 is 1.
1. What is the GCD of 972, 221, 616, 370?
GCD of given numbers 972, 221, 616, 370 is 1
2. How to calculate the greatest common divisor of 972, 221, 616, 370?
We can find the highest common divisor of 972, 221, 616, 370 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 972, 221, 616, 370 i.e 1.
3. How can I use the GCD of 972, 221, 616, 370Calculator?
Out the numbers 972, 221, 616, 370 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.