Online GCD Calculator is useful to find the GCD of 470, 602, 649, 600 quickly. Get the easiest ways to solve the greatest common divisor of 470, 602, 649, 600 i.e 1 in different methods as follows.
Given Input numbers are 470, 602, 649, 600
In the factoring method, we have to find the divisors of all numbers
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 602 :
The positive integer divisors of 602 that completely divides 602 are.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (470, 602, 649, 600) = 1.
Given numbers are 470, 602, 649, 600
The list of prime factors of all numbers are
Prime factors of 470 are 2 x 5 x 47
Prime factors of 602 are 2 x 7 x 43
Prime factors of 649 are 11 x 59
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 470, 602, 649, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(470, 602) = 141470
GCD(470, 602) = ( 470 x 602 ) / 141470
= 470 / 602
= 470
Step2:
LCM(2, 649) = 1298
GCD(2, 649) = ( 2 x 649 ) / 1298
= 2 / 649
= 2
Step3:
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
= 1 / 600
= 1
So, Greatest Common Divisor of 470, 602, 649, 600 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 470, 602, 649, 600
The greatest common divisor of numbers 470, 602, 649, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 602, 649, 600 is 1.
1. What is the GCD of 470, 602, 649, 600?
GCD of given numbers 470, 602, 649, 600 is 1
2. How to calculate the greatest common divisor of 470, 602, 649, 600?
We can find the highest common divisor of 470, 602, 649, 600 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 470, 602, 649, 600 i.e 1.
3. How can I use the GCD of 470, 602, 649, 600Calculator?
Out the numbers 470, 602, 649, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.