Online GCD Calculator is useful to find the GCD of 872, 512, 355, 435 quickly. Get the easiest ways to solve the greatest common divisor of 872, 512, 355, 435 i.e 1 in different methods as follows.
Given Input numbers are 872, 512, 355, 435
In the factoring method, we have to find the divisors of all numbers
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 435 :
The positive integer divisors of 435 that completely divides 435 are.
1, 3, 5, 15, 29, 87, 145, 435
GCD of numbers is the greatest common divisor
So, the GCD (872, 512, 355, 435) = 1.
Given numbers are 872, 512, 355, 435
The list of prime factors of all numbers are
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 355 are 5 x 71
Prime factors of 435 are 3 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 872, 512, 355, 435
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(872, 512) = 55808
GCD(872, 512) = ( 872 x 512 ) / 55808
= 872 / 512
= 872
Step2:
LCM(8, 355) = 2840
GCD(8, 355) = ( 8 x 355 ) / 2840
= 8 / 355
= 8
Step3:
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
= 1 / 435
= 1
So, Greatest Common Divisor of 872, 512, 355, 435 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 872, 512, 355, 435
The greatest common divisor of numbers 872, 512, 355, 435 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 512, 355, 435 is 1.
1. What is the GCD of 872, 512, 355, 435?
GCD of given numbers 872, 512, 355, 435 is 1
2. How to calculate the greatest common divisor of 872, 512, 355, 435?
We can find the highest common divisor of 872, 512, 355, 435 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 872, 512, 355, 435 i.e 1.
3. How can I use the GCD of 872, 512, 355, 435Calculator?
Out the numbers 872, 512, 355, 435 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.