Online GCD Calculator is useful to find the GCD of 402, 606, 694, 720 quickly. Get the easiest ways to solve the greatest common divisor of 402, 606, 694, 720 i.e 2 in different methods as follows.
Given Input numbers are 402, 606, 694, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 606 :
The positive integer divisors of 606 that completely divides 606 are.
1, 2, 3, 6, 101, 202, 303, 606
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
GCD of numbers is the greatest common divisor
So, the GCD (402, 606, 694, 720) = 2.
Given numbers are 402, 606, 694, 720
The list of prime factors of all numbers are
Prime factors of 402 are 2 x 3 x 67
Prime factors of 606 are 2 x 3 x 101
Prime factors of 694 are 2 x 347
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 402, 606, 694, 720 is 2.
Given numbers are 402, 606, 694, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(402, 606) = 40602
GCD(402, 606) = ( 402 x 606 ) / 40602
= 402 / 606
= 402
Step2:
LCM(6, 694) = 2082
GCD(6, 694) = ( 6 x 694 ) / 2082
= 6 / 694
= 6
Step3:
LCM(2, 720) = 720
GCD(2, 720) = ( 2 x 720 ) / 720
= 2 / 720
= 2
So, Greatest Common Divisor of 402, 606, 694, 720 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 402, 606, 694, 720
The greatest common divisor of numbers 402, 606, 694, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 606, 694, 720 is 2.
1. What is the GCD of 402, 606, 694, 720?
GCD of given numbers 402, 606, 694, 720 is 2
2. How to calculate the greatest common divisor of 402, 606, 694, 720?
We can find the highest common divisor of 402, 606, 694, 720 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 402, 606, 694, 720 i.e 2.
3. How can I use the GCD of 402, 606, 694, 720Calculator?
Out the numbers 402, 606, 694, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.