Online GCD Calculator is useful to find the GCD of 400, 434, 692, 556 quickly. Get the easiest ways to solve the greatest common divisor of 400, 434, 692, 556 i.e 2 in different methods as follows.
Given Input numbers are 400, 434, 692, 556
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 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 556 :
The positive integer divisors of 556 that completely divides 556 are.
1, 2, 4, 139, 278, 556
GCD of numbers is the greatest common divisor
So, the GCD (400, 434, 692, 556) = 2.
Given numbers are 400, 434, 692, 556
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 434 are 2 x 7 x 31
Prime factors of 692 are 2 x 2 x 173
Prime factors of 556 are 2 x 2 x 139
The highest common occurrence is 21
Therefore, GCD of 400, 434, 692, 556 is 2.
Given numbers are 400, 434, 692, 556
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 434) = 86800
GCD(400, 434) = ( 400 x 434 ) / 86800
= 400 / 434
= 400
Step2:
LCM(2, 692) = 692
GCD(2, 692) = ( 2 x 692 ) / 692
= 2 / 692
= 2
Step3:
LCM(2, 556) = 556
GCD(2, 556) = ( 2 x 556 ) / 556
= 2 / 556
= 2
So, Greatest Common Divisor of 400, 434, 692, 556 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 434, 692, 556
The greatest common divisor of numbers 400, 434, 692, 556 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 434, 692, 556 is 2.
1. What is the GCD of 400, 434, 692, 556?
GCD of given numbers 400, 434, 692, 556 is 2
2. How to calculate the greatest common divisor of 400, 434, 692, 556?
We can find the highest common divisor of 400, 434, 692, 556 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, 434, 692, 556 i.e 2.
3. How can I use the GCD of 400, 434, 692, 556Calculator?
Out the numbers 400, 434, 692, 556 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.