Online GCD Calculator is useful to find the GCD of 396, 735, 407 quickly. Get the easiest ways to solve the greatest common divisor of 396, 735, 407 i.e 1 in different methods as follows.
Given Input numbers are 396, 735, 407
In the factoring method, we have to find the divisors of all numbers
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
GCD of numbers is the greatest common divisor
So, the GCD (396, 735, 407) = 1.
Given numbers are 396, 735, 407
The list of prime factors of all numbers are
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 407 are 11 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 396, 735, 407
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(396, 735) = 97020
GCD(396, 735) = ( 396 x 735 ) / 97020
= 396 / 735
= 396
Step2:
LCM(3, 407) = 1221
GCD(3, 407) = ( 3 x 407 ) / 1221
= 3 / 407
= 3
So, Greatest Common Divisor of 396, 735, 407 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 396, 735, 407
The greatest common divisor of numbers 396, 735, 407 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 735, 407 is 1.
1. What is the GCD of 396, 735, 407?
GCD of given numbers 396, 735, 407 is 1
2. How to calculate the greatest common divisor of 396, 735, 407?
We can find the highest common divisor of 396, 735, 407 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 396, 735, 407 i.e 1.
3. How can I use the GCD of 396, 735, 407Calculator?
Out the numbers 396, 735, 407 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.