Online GCD Calculator is useful to find the GCD of 972, 315, 213 quickly. Get the easiest ways to solve the greatest common divisor of 972, 315, 213 i.e 3 in different methods as follows.
Given Input numbers are 972, 315, 213
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 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
GCD of numbers is the greatest common divisor
So, the GCD (972, 315, 213) = 3.
Given numbers are 972, 315, 213
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 315 are 3 x 3 x 5 x 7
Prime factors of 213 are 3 x 71
The highest common occurrence is 31
Therefore, GCD of 972, 315, 213 is 3.
Given numbers are 972, 315, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 315) = 34020
GCD(972, 315) = ( 972 x 315 ) / 34020
= 972 / 315
= 972
Step2:
LCM(9, 213) = 639
GCD(9, 213) = ( 9 x 213 ) / 639
= 9 / 213
= 9
So, Greatest Common Divisor of 972, 315, 213 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 315, 213
The greatest common divisor of numbers 972, 315, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 315, 213 is 3.
1. What is the GCD of 972, 315, 213?
GCD of given numbers 972, 315, 213 is 3
2. How to calculate the greatest common divisor of 972, 315, 213?
We can find the highest common divisor of 972, 315, 213 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, 315, 213 i.e 3.
3. How can I use the GCD of 972, 315, 213Calculator?
Out the numbers 972, 315, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.