Online GCD Calculator is useful to find the GCD of 218, 788, 699, 920 quickly. Get the easiest ways to solve the greatest common divisor of 218, 788, 699, 920 i.e 1 in different methods as follows.
Given Input numbers are 218, 788, 699, 920
In the factoring method, we have to find the divisors of all numbers
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
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 (218, 788, 699, 920) = 1.
Given numbers are 218, 788, 699, 920
The list of prime factors of all numbers are
Prime factors of 218 are 2 x 109
Prime factors of 788 are 2 x 2 x 197
Prime factors of 699 are 3 x 233
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 218, 788, 699, 920
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(218, 788) = 85892
GCD(218, 788) = ( 218 x 788 ) / 85892
= 218 / 788
= 218
Step2:
LCM(2, 699) = 1398
GCD(2, 699) = ( 2 x 699 ) / 1398
= 2 / 699
= 2
Step3:
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
= 1 / 920
= 1
So, Greatest Common Divisor of 218, 788, 699, 920 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 218, 788, 699, 920
The greatest common divisor of numbers 218, 788, 699, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 788, 699, 920 is 1.
1. What is the GCD of 218, 788, 699, 920?
GCD of given numbers 218, 788, 699, 920 is 1
2. How to calculate the greatest common divisor of 218, 788, 699, 920?
We can find the highest common divisor of 218, 788, 699, 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 218, 788, 699, 920 i.e 1.
3. How can I use the GCD of 218, 788, 699, 920Calculator?
Out the numbers 218, 788, 699, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.