Online GCD Calculator is useful to find the GCD of 120, 580, 61, 156 quickly. Get the easiest ways to solve the greatest common divisor of 120, 580, 61, 156 i.e 1 in different methods as follows.
Given Input numbers are 120, 580, 61, 156
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 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 61 :
The positive integer divisors of 61 that completely divides 61 are.
1, 61
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (120, 580, 61, 156) = 1.
Given numbers are 120, 580, 61, 156
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 580 are 2 x 2 x 5 x 29
Prime factors of 61 are 61
Prime factors of 156 are 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 580, 61, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 580) = 3480
GCD(120, 580) = ( 120 x 580 ) / 3480
= 120 / 580
= 120
Step2:
LCM(20, 61) = 1220
GCD(20, 61) = ( 20 x 61 ) / 1220
= 20 / 61
= 20
Step3:
LCM(1, 156) = 156
GCD(1, 156) = ( 1 x 156 ) / 156
= 1 / 156
= 1
So, Greatest Common Divisor of 120, 580, 61, 156 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 580, 61, 156
The greatest common divisor of numbers 120, 580, 61, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 580, 61, 156 is 1.
1. What is the GCD of 120, 580, 61, 156?
GCD of given numbers 120, 580, 61, 156 is 1
2. How to calculate the greatest common divisor of 120, 580, 61, 156?
We can find the highest common divisor of 120, 580, 61, 156 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, 580, 61, 156 i.e 1.
3. How can I use the GCD of 120, 580, 61, 156Calculator?
Out the numbers 120, 580, 61, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.