Online GCD Calculator is useful to find the GCD of 120, 945, 533, 572 quickly. Get the easiest ways to solve the greatest common divisor of 120, 945, 533, 572 i.e 1 in different methods as follows.
Given Input numbers are 120, 945, 533, 572
In the factoring method, we have to find the divisors of all numbers
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 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 533 :
The positive integer divisors of 533 that completely divides 533 are.
1, 13, 41, 533
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
GCD of numbers is the greatest common divisor
So, the GCD (120, 945, 533, 572) = 1.
Given numbers are 120, 945, 533, 572
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 533 are 13 x 41
Prime factors of 572 are 2 x 2 x 11 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 945, 533, 572
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 945) = 7560
GCD(120, 945) = ( 120 x 945 ) / 7560
= 120 / 945
= 120
Step2:
LCM(15, 533) = 7995
GCD(15, 533) = ( 15 x 533 ) / 7995
= 15 / 533
= 15
Step3:
LCM(1, 572) = 572
GCD(1, 572) = ( 1 x 572 ) / 572
= 1 / 572
= 1
So, Greatest Common Divisor of 120, 945, 533, 572 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 945, 533, 572
The greatest common divisor of numbers 120, 945, 533, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 945, 533, 572 is 1.
1. What is the GCD of 120, 945, 533, 572?
GCD of given numbers 120, 945, 533, 572 is 1
2. How to calculate the greatest common divisor of 120, 945, 533, 572?
We can find the highest common divisor of 120, 945, 533, 572 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 120, 945, 533, 572 i.e 1.
3. How can I use the GCD of 120, 945, 533, 572Calculator?
Out the numbers 120, 945, 533, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.