Online GCD Calculator is useful to find the GCD of 420, 303, 282, 733 quickly. Get the easiest ways to solve the greatest common divisor of 420, 303, 282, 733 i.e 1 in different methods as follows.
Given Input numbers are 420, 303, 282, 733
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 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 733 :
The positive integer divisors of 733 that completely divides 733 are.
1, 733
GCD of numbers is the greatest common divisor
So, the GCD (420, 303, 282, 733) = 1.
Given numbers are 420, 303, 282, 733
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 303 are 3 x 101
Prime factors of 282 are 2 x 3 x 47
Prime factors of 733 are 733
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 303, 282, 733
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 303) = 42420
GCD(420, 303) = ( 420 x 303 ) / 42420
= 420 / 303
= 420
Step2:
LCM(3, 282) = 282
GCD(3, 282) = ( 3 x 282 ) / 282
= 3 / 282
= 3
Step3:
LCM(3, 733) = 2199
GCD(3, 733) = ( 3 x 733 ) / 2199
= 3 / 733
= 3
So, Greatest Common Divisor of 420, 303, 282, 733 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 303, 282, 733
The greatest common divisor of numbers 420, 303, 282, 733 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 303, 282, 733 is 1.
1. What is the GCD of 420, 303, 282, 733?
GCD of given numbers 420, 303, 282, 733 is 1
2. How to calculate the greatest common divisor of 420, 303, 282, 733?
We can find the highest common divisor of 420, 303, 282, 733 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, 303, 282, 733 i.e 1.
3. How can I use the GCD of 420, 303, 282, 733Calculator?
Out the numbers 420, 303, 282, 733 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.