Online GCD Calculator is useful to find the GCD of 420, 646, 588, 640 quickly. Get the easiest ways to solve the greatest common divisor of 420, 646, 588, 640 i.e 2 in different methods as follows.
Given Input numbers are 420, 646, 588, 640
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 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
GCD of numbers is the greatest common divisor
So, the GCD (420, 646, 588, 640) = 2.
Given numbers are 420, 646, 588, 640
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 646 are 2 x 17 x 19
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 420, 646, 588, 640 is 2.
Given numbers are 420, 646, 588, 640
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 646) = 135660
GCD(420, 646) = ( 420 x 646 ) / 135660
= 420 / 646
= 420
Step2:
LCM(2, 588) = 588
GCD(2, 588) = ( 2 x 588 ) / 588
= 2 / 588
= 2
Step3:
LCM(2, 640) = 640
GCD(2, 640) = ( 2 x 640 ) / 640
= 2 / 640
= 2
So, Greatest Common Divisor of 420, 646, 588, 640 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 646, 588, 640
The greatest common divisor of numbers 420, 646, 588, 640 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 646, 588, 640 is 2.
1. What is the GCD of 420, 646, 588, 640?
GCD of given numbers 420, 646, 588, 640 is 2
2. How to calculate the greatest common divisor of 420, 646, 588, 640?
We can find the highest common divisor of 420, 646, 588, 640 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, 646, 588, 640 i.e 2.
3. How can I use the GCD of 420, 646, 588, 640Calculator?
Out the numbers 420, 646, 588, 640 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.