Online GCD Calculator is useful to find the GCD of 780, 413, 772, 420 quickly. Get the easiest ways to solve the greatest common divisor of 780, 413, 772, 420 i.e 1 in different methods as follows.
Given Input numbers are 780, 413, 772, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 413 :
The positive integer divisors of 413 that completely divides 413 are.
1, 7, 59, 413
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (780, 413, 772, 420) = 1.
Given numbers are 780, 413, 772, 420
The list of prime factors of all numbers are
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 413 are 7 x 59
Prime factors of 772 are 2 x 2 x 193
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 780, 413, 772, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(780, 413) = 322140
GCD(780, 413) = ( 780 x 413 ) / 322140
= 780 / 413
= 780
Step2:
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
= 1 / 772
= 1
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 780, 413, 772, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 780, 413, 772, 420
The greatest common divisor of numbers 780, 413, 772, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 413, 772, 420 is 1.
1. What is the GCD of 780, 413, 772, 420?
GCD of given numbers 780, 413, 772, 420 is 1
2. How to calculate the greatest common divisor of 780, 413, 772, 420?
We can find the highest common divisor of 780, 413, 772, 420 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 780, 413, 772, 420 i.e 1.
3. How can I use the GCD of 780, 413, 772, 420Calculator?
Out the numbers 780, 413, 772, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.