Online GCD Calculator is useful to find the GCD of 321, 700, 612, 360 quickly. Get the easiest ways to solve the greatest common divisor of 321, 700, 612, 360 i.e 1 in different methods as follows.
Given Input numbers are 321, 700, 612, 360
In the factoring method, we have to find the divisors of all numbers
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
GCD of numbers is the greatest common divisor
So, the GCD (321, 700, 612, 360) = 1.
Given numbers are 321, 700, 612, 360
The list of prime factors of all numbers are
Prime factors of 321 are 3 x 107
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 321, 700, 612, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(321, 700) = 224700
GCD(321, 700) = ( 321 x 700 ) / 224700
= 321 / 700
= 321
Step2:
LCM(1, 612) = 612
GCD(1, 612) = ( 1 x 612 ) / 612
= 1 / 612
= 1
Step3:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
So, Greatest Common Divisor of 321, 700, 612, 360 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 321, 700, 612, 360
The greatest common divisor of numbers 321, 700, 612, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 700, 612, 360 is 1.
1. What is the GCD of 321, 700, 612, 360?
GCD of given numbers 321, 700, 612, 360 is 1
2. How to calculate the greatest common divisor of 321, 700, 612, 360?
We can find the highest common divisor of 321, 700, 612, 360 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 321, 700, 612, 360 i.e 1.
3. How can I use the GCD of 321, 700, 612, 360Calculator?
Out the numbers 321, 700, 612, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.