Online GCD Calculator is useful to find the GCD of 780, 742, 321, 133 quickly. Get the easiest ways to solve the greatest common divisor of 780, 742, 321, 133 i.e 1 in different methods as follows.
Given Input numbers are 780, 742, 321, 133
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 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
GCD of numbers is the greatest common divisor
So, the GCD (780, 742, 321, 133) = 1.
Given numbers are 780, 742, 321, 133
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 742 are 2 x 7 x 53
Prime factors of 321 are 3 x 107
Prime factors of 133 are 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 780, 742, 321, 133
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(780, 742) = 289380
GCD(780, 742) = ( 780 x 742 ) / 289380
= 780 / 742
= 780
Step2:
LCM(2, 321) = 642
GCD(2, 321) = ( 2 x 321 ) / 642
= 2 / 321
= 2
Step3:
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
= 1 / 133
= 1
So, Greatest Common Divisor of 780, 742, 321, 133 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 780, 742, 321, 133
The greatest common divisor of numbers 780, 742, 321, 133 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 742, 321, 133 is 1.
1. What is the GCD of 780, 742, 321, 133?
GCD of given numbers 780, 742, 321, 133 is 1
2. How to calculate the greatest common divisor of 780, 742, 321, 133?
We can find the highest common divisor of 780, 742, 321, 133 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, 742, 321, 133 i.e 1.
3. How can I use the GCD of 780, 742, 321, 133Calculator?
Out the numbers 780, 742, 321, 133 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.