Online GCD Calculator is useful to find the GCD of 972, 956, 80, 222 quickly. Get the easiest ways to solve the greatest common divisor of 972, 956, 80, 222 i.e 2 in different methods as follows.
Given Input numbers are 972, 956, 80, 222
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 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 80 :
The positive integer divisors of 80 that completely divides 80 are.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
GCD of numbers is the greatest common divisor
So, the GCD (972, 956, 80, 222) = 2.
Given numbers are 972, 956, 80, 222
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 956 are 2 x 2 x 239
Prime factors of 80 are 2 x 2 x 2 x 2 x 5
Prime factors of 222 are 2 x 3 x 37
The highest common occurrence is 21
Therefore, GCD of 972, 956, 80, 222 is 2.
Given numbers are 972, 956, 80, 222
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 956) = 232308
GCD(972, 956) = ( 972 x 956 ) / 232308
= 972 / 956
= 972
Step2:
LCM(4, 80) = 80
GCD(4, 80) = ( 4 x 80 ) / 80
= 4 / 80
= 4
Step3:
LCM(4, 222) = 444
GCD(4, 222) = ( 4 x 222 ) / 444
= 4 / 222
= 4
So, Greatest Common Divisor of 972, 956, 80, 222 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 956, 80, 222
The greatest common divisor of numbers 972, 956, 80, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 956, 80, 222 is 2.
1. What is the GCD of 972, 956, 80, 222?
GCD of given numbers 972, 956, 80, 222 is 2
2. How to calculate the greatest common divisor of 972, 956, 80, 222?
We can find the highest common divisor of 972, 956, 80, 222 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, 956, 80, 222 i.e 2.
3. How can I use the GCD of 972, 956, 80, 222Calculator?
Out the numbers 972, 956, 80, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.