Online GCD Calculator is useful to find the GCD of 109, 332, 700, 585 quickly. Get the easiest ways to solve the greatest common divisor of 109, 332, 700, 585 i.e 1 in different methods as follows.
Given Input numbers are 109, 332, 700, 585
In the factoring method, we have to find the divisors of all numbers
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
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 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
GCD of numbers is the greatest common divisor
So, the GCD (109, 332, 700, 585) = 1.
Given numbers are 109, 332, 700, 585
The list of prime factors of all numbers are
Prime factors of 109 are 109
Prime factors of 332 are 2 x 2 x 83
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 585 are 3 x 3 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 109, 332, 700, 585
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(109, 332) = 36188
GCD(109, 332) = ( 109 x 332 ) / 36188
= 109 / 332
= 109
Step2:
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
= 1 / 700
= 1
Step3:
LCM(1, 585) = 585
GCD(1, 585) = ( 1 x 585 ) / 585
= 1 / 585
= 1
So, Greatest Common Divisor of 109, 332, 700, 585 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 109, 332, 700, 585
The greatest common divisor of numbers 109, 332, 700, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 332, 700, 585 is 1.
1. What is the GCD of 109, 332, 700, 585?
GCD of given numbers 109, 332, 700, 585 is 1
2. How to calculate the greatest common divisor of 109, 332, 700, 585?
We can find the highest common divisor of 109, 332, 700, 585 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 109, 332, 700, 585 i.e 1.
3. How can I use the GCD of 109, 332, 700, 585Calculator?
Out the numbers 109, 332, 700, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.