Online GCD Calculator is useful to find the GCD of 600, 601, 421, 705 quickly. Get the easiest ways to solve the greatest common divisor of 600, 601, 421, 705 i.e 1 in different methods as follows.
Given Input numbers are 600, 601, 421, 705
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 601 :
The positive integer divisors of 601 that completely divides 601 are.
1, 601
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
GCD of numbers is the greatest common divisor
So, the GCD (600, 601, 421, 705) = 1.
Given numbers are 600, 601, 421, 705
The list of prime factors of all numbers are
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 601 are 601
Prime factors of 421 are 421
Prime factors of 705 are 3 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 600, 601, 421, 705
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 601) = 360600
GCD(600, 601) = ( 600 x 601 ) / 360600
= 600 / 601
= 600
Step2:
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
= 1 / 421
= 1
Step3:
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
= 1 / 705
= 1
So, Greatest Common Divisor of 600, 601, 421, 705 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 600, 601, 421, 705
The greatest common divisor of numbers 600, 601, 421, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 601, 421, 705 is 1.
1. What is the GCD of 600, 601, 421, 705?
GCD of given numbers 600, 601, 421, 705 is 1
2. How to calculate the greatest common divisor of 600, 601, 421, 705?
We can find the highest common divisor of 600, 601, 421, 705 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 600, 601, 421, 705 i.e 1.
3. How can I use the GCD of 600, 601, 421, 705Calculator?
Out the numbers 600, 601, 421, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.