Online GCD Calculator is useful to find the GCD of 360, 749, 922, 584 quickly. Get the easiest ways to solve the greatest common divisor of 360, 749, 922, 584 i.e 1 in different methods as follows.
Given Input numbers are 360, 749, 922, 584
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 922 :
The positive integer divisors of 922 that completely divides 922 are.
1, 2, 461, 922
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
GCD of numbers is the greatest common divisor
So, the GCD (360, 749, 922, 584) = 1.
Given numbers are 360, 749, 922, 584
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 749 are 7 x 107
Prime factors of 922 are 2 x 461
Prime factors of 584 are 2 x 2 x 2 x 73
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 749, 922, 584
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 749) = 269640
GCD(360, 749) = ( 360 x 749 ) / 269640
= 360 / 749
= 360
Step2:
LCM(1, 922) = 922
GCD(1, 922) = ( 1 x 922 ) / 922
= 1 / 922
= 1
Step3:
LCM(1, 584) = 584
GCD(1, 584) = ( 1 x 584 ) / 584
= 1 / 584
= 1
So, Greatest Common Divisor of 360, 749, 922, 584 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 749, 922, 584
The greatest common divisor of numbers 360, 749, 922, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 749, 922, 584 is 1.
1. What is the GCD of 360, 749, 922, 584?
GCD of given numbers 360, 749, 922, 584 is 1
2. How to calculate the greatest common divisor of 360, 749, 922, 584?
We can find the highest common divisor of 360, 749, 922, 584 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 360, 749, 922, 584 i.e 1.
3. How can I use the GCD of 360, 749, 922, 584Calculator?
Out the numbers 360, 749, 922, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.