Online GCD Calculator is useful to find the GCD of 122, 341, 340, 780 quickly. Get the easiest ways to solve the greatest common divisor of 122, 341, 340, 780 i.e 1 in different methods as follows.
Given Input numbers are 122, 341, 340, 780
In the factoring method, we have to find the divisors of all numbers
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 341 :
The positive integer divisors of 341 that completely divides 341 are.
1, 11, 31, 341
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
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 (122, 341, 340, 780) = 1.
Given numbers are 122, 341, 340, 780
The list of prime factors of all numbers are
Prime factors of 122 are 2 x 61
Prime factors of 341 are 11 x 31
Prime factors of 340 are 2 x 2 x 5 x 17
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 122, 341, 340, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(122, 341) = 41602
GCD(122, 341) = ( 122 x 341 ) / 41602
= 122 / 341
= 122
Step2:
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
= 1 / 340
= 1
Step3:
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
= 1 / 780
= 1
So, Greatest Common Divisor of 122, 341, 340, 780 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 122, 341, 340, 780
The greatest common divisor of numbers 122, 341, 340, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 341, 340, 780 is 1.
1. What is the GCD of 122, 341, 340, 780?
GCD of given numbers 122, 341, 340, 780 is 1
2. How to calculate the greatest common divisor of 122, 341, 340, 780?
We can find the highest common divisor of 122, 341, 340, 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 122, 341, 340, 780 i.e 1.
3. How can I use the GCD of 122, 341, 340, 780Calculator?
Out the numbers 122, 341, 340, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.