Online GCD Calculator is useful to find the GCD of 400, 749, 345, 364 quickly. Get the easiest ways to solve the greatest common divisor of 400, 749, 345, 364 i.e 1 in different methods as follows.
Given Input numbers are 400, 749, 345, 364
In the factoring method, we have to find the divisors of all numbers
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 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD of numbers is the greatest common divisor
So, the GCD (400, 749, 345, 364) = 1.
Given numbers are 400, 749, 345, 364
The list of prime factors of all numbers are
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 749 are 7 x 107
Prime factors of 345 are 3 x 5 x 23
Prime factors of 364 are 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 749, 345, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 749) = 299600
GCD(400, 749) = ( 400 x 749 ) / 299600
= 400 / 749
= 400
Step2:
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
= 1 / 345
= 1
Step3:
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
= 1 / 364
= 1
So, Greatest Common Divisor of 400, 749, 345, 364 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 749, 345, 364
The greatest common divisor of numbers 400, 749, 345, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 749, 345, 364 is 1.
1. What is the GCD of 400, 749, 345, 364?
GCD of given numbers 400, 749, 345, 364 is 1
2. How to calculate the greatest common divisor of 400, 749, 345, 364?
We can find the highest common divisor of 400, 749, 345, 364 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 400, 749, 345, 364 i.e 1.
3. How can I use the GCD of 400, 749, 345, 364Calculator?
Out the numbers 400, 749, 345, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.