Online GCD Calculator is useful to find the GCD of 972, 166, 423, 342 quickly. Get the easiest ways to solve the greatest common divisor of 972, 166, 423, 342 i.e 1 in different methods as follows.
Given Input numbers are 972, 166, 423, 342
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 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (972, 166, 423, 342) = 1.
Given numbers are 972, 166, 423, 342
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 166 are 2 x 83
Prime factors of 423 are 3 x 3 x 47
Prime factors of 342 are 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 166, 423, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 166) = 80676
GCD(972, 166) = ( 972 x 166 ) / 80676
= 972 / 166
= 972
Step2:
LCM(2, 423) = 846
GCD(2, 423) = ( 2 x 423 ) / 846
= 2 / 423
= 2
Step3:
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
= 1 / 342
= 1
So, Greatest Common Divisor of 972, 166, 423, 342 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 166, 423, 342
The greatest common divisor of numbers 972, 166, 423, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 166, 423, 342 is 1.
1. What is the GCD of 972, 166, 423, 342?
GCD of given numbers 972, 166, 423, 342 is 1
2. How to calculate the greatest common divisor of 972, 166, 423, 342?
We can find the highest common divisor of 972, 166, 423, 342 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, 166, 423, 342 i.e 1.
3. How can I use the GCD of 972, 166, 423, 342Calculator?
Out the numbers 972, 166, 423, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.