Online GCD Calculator is useful to find the GCD of 499, 432, 687, 920 quickly. Get the easiest ways to solve the greatest common divisor of 499, 432, 687, 920 i.e 1 in different methods as follows.
Given Input numbers are 499, 432, 687, 920
In the factoring method, we have to find the divisors of all numbers
Divisors of 499 :
The positive integer divisors of 499 that completely divides 499 are.
1, 499
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
GCD of numbers is the greatest common divisor
So, the GCD (499, 432, 687, 920) = 1.
Given numbers are 499, 432, 687, 920
The list of prime factors of all numbers are
Prime factors of 499 are 499
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 687 are 3 x 229
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 499, 432, 687, 920
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(499, 432) = 215568
GCD(499, 432) = ( 499 x 432 ) / 215568
= 499 / 432
= 499
Step2:
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
= 1 / 687
= 1
Step3:
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
= 1 / 920
= 1
So, Greatest Common Divisor of 499, 432, 687, 920 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 499, 432, 687, 920
The greatest common divisor of numbers 499, 432, 687, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 499, 432, 687, 920 is 1.
1. What is the GCD of 499, 432, 687, 920?
GCD of given numbers 499, 432, 687, 920 is 1
2. How to calculate the greatest common divisor of 499, 432, 687, 920?
We can find the highest common divisor of 499, 432, 687, 920 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 499, 432, 687, 920 i.e 1.
3. How can I use the GCD of 499, 432, 687, 920Calculator?
Out the numbers 499, 432, 687, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.