Online GCD Calculator is useful to find the GCD of 219, 844, 120, 972 quickly. Get the easiest ways to solve the greatest common divisor of 219, 844, 120, 972 i.e 1 in different methods as follows.
Given Input numbers are 219, 844, 120, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 219 :
The positive integer divisors of 219 that completely divides 219 are.
1, 3, 73, 219
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
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 (219, 844, 120, 972) = 1.
Given numbers are 219, 844, 120, 972
The list of prime factors of all numbers are
Prime factors of 219 are 3 x 73
Prime factors of 844 are 2 x 2 x 211
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
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 219, 844, 120, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(219, 844) = 184836
GCD(219, 844) = ( 219 x 844 ) / 184836
= 219 / 844
= 219
Step2:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 219, 844, 120, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 219, 844, 120, 972
The greatest common divisor of numbers 219, 844, 120, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 219, 844, 120, 972 is 1.
1. What is the GCD of 219, 844, 120, 972?
GCD of given numbers 219, 844, 120, 972 is 1
2. How to calculate the greatest common divisor of 219, 844, 120, 972?
We can find the highest common divisor of 219, 844, 120, 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 219, 844, 120, 972 i.e 1.
3. How can I use the GCD of 219, 844, 120, 972Calculator?
Out the numbers 219, 844, 120, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.