Online GCD Calculator is useful to find the GCD of 772, 470, 731, 780 quickly. Get the easiest ways to solve the greatest common divisor of 772, 470, 731, 780 i.e 1 in different methods as follows.
Given Input numbers are 772, 470, 731, 780
In the factoring method, we have to find the divisors of all numbers
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
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
GCD of numbers is the greatest common divisor
So, the GCD (772, 470, 731, 780) = 1.
Given numbers are 772, 470, 731, 780
The list of prime factors of all numbers are
Prime factors of 772 are 2 x 2 x 193
Prime factors of 470 are 2 x 5 x 47
Prime factors of 731 are 17 x 43
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 772, 470, 731, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(772, 470) = 181420
GCD(772, 470) = ( 772 x 470 ) / 181420
= 772 / 470
= 772
Step2:
LCM(2, 731) = 1462
GCD(2, 731) = ( 2 x 731 ) / 1462
= 2 / 731
= 2
Step3:
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
= 1 / 780
= 1
So, Greatest Common Divisor of 772, 470, 731, 780 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 772, 470, 731, 780
The greatest common divisor of numbers 772, 470, 731, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 470, 731, 780 is 1.
1. What is the GCD of 772, 470, 731, 780?
GCD of given numbers 772, 470, 731, 780 is 1
2. How to calculate the greatest common divisor of 772, 470, 731, 780?
We can find the highest common divisor of 772, 470, 731, 780 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 772, 470, 731, 780 i.e 1.
3. How can I use the GCD of 772, 470, 731, 780Calculator?
Out the numbers 772, 470, 731, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.