Online GCD Calculator is useful to find the GCD of 855, 735, 632, 960 quickly. Get the easiest ways to solve the greatest common divisor of 855, 735, 632, 960 i.e 1 in different methods as follows.
Given Input numbers are 855, 735, 632, 960
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 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (855, 735, 632, 960) = 1.
Given numbers are 855, 735, 632, 960
The list of prime factors of all numbers are
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 855, 735, 632, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(855, 735) = 41895
GCD(855, 735) = ( 855 x 735 ) / 41895
= 855 / 735
= 855
Step2:
LCM(15, 632) = 9480
GCD(15, 632) = ( 15 x 632 ) / 9480
= 15 / 632
= 15
Step3:
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
= 1 / 960
= 1
So, Greatest Common Divisor of 855, 735, 632, 960 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 855, 735, 632, 960
The greatest common divisor of numbers 855, 735, 632, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 735, 632, 960 is 1.
1. What is the GCD of 855, 735, 632, 960?
GCD of given numbers 855, 735, 632, 960 is 1
2. How to calculate the greatest common divisor of 855, 735, 632, 960?
We can find the highest common divisor of 855, 735, 632, 960 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, 735, 632, 960 i.e 1.
3. How can I use the GCD of 855, 735, 632, 960Calculator?
Out the numbers 855, 735, 632, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.