Online GCD Calculator is useful to find the GCD of 161, 520, 170, 972 quickly. Get the easiest ways to solve the greatest common divisor of 161, 520, 170, 972 i.e 1 in different methods as follows.
Given Input numbers are 161, 520, 170, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 161 :
The positive integer divisors of 161 that completely divides 161 are.
1, 7, 23, 161
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
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 (161, 520, 170, 972) = 1.
Given numbers are 161, 520, 170, 972
The list of prime factors of all numbers are
Prime factors of 161 are 7 x 23
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 170 are 2 x 5 x 17
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 161, 520, 170, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(161, 520) = 83720
GCD(161, 520) = ( 161 x 520 ) / 83720
= 161 / 520
= 161
Step2:
LCM(1, 170) = 170
GCD(1, 170) = ( 1 x 170 ) / 170
= 1 / 170
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 161, 520, 170, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 161, 520, 170, 972
The greatest common divisor of numbers 161, 520, 170, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 161, 520, 170, 972 is 1.
1. What is the GCD of 161, 520, 170, 972?
GCD of given numbers 161, 520, 170, 972 is 1
2. How to calculate the greatest common divisor of 161, 520, 170, 972?
We can find the highest common divisor of 161, 520, 170, 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 161, 520, 170, 972 i.e 1.
3. How can I use the GCD of 161, 520, 170, 972Calculator?
Out the numbers 161, 520, 170, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.