Online GCD Calculator is useful to find the GCD of 855, 300, 332, 688 quickly. Get the easiest ways to solve the greatest common divisor of 855, 300, 332, 688 i.e 1 in different methods as follows.
Given Input numbers are 855, 300, 332, 688
In the factoring method, we have to find the divisors of all numbers
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
GCD of numbers is the greatest common divisor
So, the GCD (855, 300, 332, 688) = 1.
Given numbers are 855, 300, 332, 688
The list of prime factors of all numbers are
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 332 are 2 x 2 x 83
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 855, 300, 332, 688
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(855, 300) = 17100
GCD(855, 300) = ( 855 x 300 ) / 17100
= 855 / 300
= 855
Step2:
LCM(15, 332) = 4980
GCD(15, 332) = ( 15 x 332 ) / 4980
= 15 / 332
= 15
Step3:
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
= 1 / 688
= 1
So, Greatest Common Divisor of 855, 300, 332, 688 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 855, 300, 332, 688
The greatest common divisor of numbers 855, 300, 332, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 300, 332, 688 is 1.
1. What is the GCD of 855, 300, 332, 688?
GCD of given numbers 855, 300, 332, 688 is 1
2. How to calculate the greatest common divisor of 855, 300, 332, 688?
We can find the highest common divisor of 855, 300, 332, 688 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 855, 300, 332, 688 i.e 1.
3. How can I use the GCD of 855, 300, 332, 688Calculator?
Out the numbers 855, 300, 332, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.