Online GCD Calculator is useful to find the GCD of 252, 345, 400, 607 quickly. Get the easiest ways to solve the greatest common divisor of 252, 345, 400, 607 i.e 1 in different methods as follows.
Given Input numbers are 252, 345, 400, 607
In the factoring method, we have to find the divisors of all numbers
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 607 :
The positive integer divisors of 607 that completely divides 607 are.
1, 607
GCD of numbers is the greatest common divisor
So, the GCD (252, 345, 400, 607) = 1.
Given numbers are 252, 345, 400, 607
The list of prime factors of all numbers are
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 345 are 3 x 5 x 23
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 607 are 607
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 252, 345, 400, 607
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 345) = 28980
GCD(252, 345) = ( 252 x 345 ) / 28980
= 252 / 345
= 252
Step2:
LCM(3, 400) = 1200
GCD(3, 400) = ( 3 x 400 ) / 1200
= 3 / 400
= 3
Step3:
LCM(1, 607) = 607
GCD(1, 607) = ( 1 x 607 ) / 607
= 1 / 607
= 1
So, Greatest Common Divisor of 252, 345, 400, 607 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 252, 345, 400, 607
The greatest common divisor of numbers 252, 345, 400, 607 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 345, 400, 607 is 1.
1. What is the GCD of 252, 345, 400, 607?
GCD of given numbers 252, 345, 400, 607 is 1
2. How to calculate the greatest common divisor of 252, 345, 400, 607?
We can find the highest common divisor of 252, 345, 400, 607 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 252, 345, 400, 607 i.e 1.
3. How can I use the GCD of 252, 345, 400, 607Calculator?
Out the numbers 252, 345, 400, 607 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.