Online GCD Calculator is useful to find the GCD of 420, 772, 759, 288 quickly. Get the easiest ways to solve the greatest common divisor of 420, 772, 759, 288 i.e 1 in different methods as follows.
Given Input numbers are 420, 772, 759, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (420, 772, 759, 288) = 1.
Given numbers are 420, 772, 759, 288
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 772 are 2 x 2 x 193
Prime factors of 759 are 3 x 11 x 23
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 772, 759, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 772) = 81060
GCD(420, 772) = ( 420 x 772 ) / 81060
= 420 / 772
= 420
Step2:
LCM(4, 759) = 3036
GCD(4, 759) = ( 4 x 759 ) / 3036
= 4 / 759
= 4
Step3:
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
= 1 / 288
= 1
So, Greatest Common Divisor of 420, 772, 759, 288 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 772, 759, 288
The greatest common divisor of numbers 420, 772, 759, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 772, 759, 288 is 1.
1. What is the GCD of 420, 772, 759, 288?
GCD of given numbers 420, 772, 759, 288 is 1
2. How to calculate the greatest common divisor of 420, 772, 759, 288?
We can find the highest common divisor of 420, 772, 759, 288 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 420, 772, 759, 288 i.e 1.
3. How can I use the GCD of 420, 772, 759, 288Calculator?
Out the numbers 420, 772, 759, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.