Online GCD Calculator is useful to find the GCD of 402, 400, 734, 909 quickly. Get the easiest ways to solve the greatest common divisor of 402, 400, 734, 909 i.e 1 in different methods as follows.
Given Input numbers are 402, 400, 734, 909
In the factoring method, we have to find the divisors of all numbers
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
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 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
GCD of numbers is the greatest common divisor
So, the GCD (402, 400, 734, 909) = 1.
Given numbers are 402, 400, 734, 909
The list of prime factors of all numbers are
Prime factors of 402 are 2 x 3 x 67
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 734 are 2 x 367
Prime factors of 909 are 3 x 3 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 402, 400, 734, 909
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(402, 400) = 80400
GCD(402, 400) = ( 402 x 400 ) / 80400
= 402 / 400
= 402
Step2:
LCM(2, 734) = 734
GCD(2, 734) = ( 2 x 734 ) / 734
= 2 / 734
= 2
Step3:
LCM(2, 909) = 1818
GCD(2, 909) = ( 2 x 909 ) / 1818
= 2 / 909
= 2
So, Greatest Common Divisor of 402, 400, 734, 909 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 402, 400, 734, 909
The greatest common divisor of numbers 402, 400, 734, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 400, 734, 909 is 1.
1. What is the GCD of 402, 400, 734, 909?
GCD of given numbers 402, 400, 734, 909 is 1
2. How to calculate the greatest common divisor of 402, 400, 734, 909?
We can find the highest common divisor of 402, 400, 734, 909 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 402, 400, 734, 909 i.e 1.
3. How can I use the GCD of 402, 400, 734, 909Calculator?
Out the numbers 402, 400, 734, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.