Online GCD Calculator is useful to find the GCD of 400, 938, 782, 452 quickly. Get the easiest ways to solve the greatest common divisor of 400, 938, 782, 452 i.e 2 in different methods as follows.
Given Input numbers are 400, 938, 782, 452
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 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
GCD of numbers is the greatest common divisor
So, the GCD (400, 938, 782, 452) = 2.
Given numbers are 400, 938, 782, 452
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 938 are 2 x 7 x 67
Prime factors of 782 are 2 x 17 x 23
Prime factors of 452 are 2 x 2 x 113
The highest common occurrence is 21
Therefore, GCD of 400, 938, 782, 452 is 2.
Given numbers are 400, 938, 782, 452
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 938) = 187600
GCD(400, 938) = ( 400 x 938 ) / 187600
= 400 / 938
= 400
Step2:
LCM(2, 782) = 782
GCD(2, 782) = ( 2 x 782 ) / 782
= 2 / 782
= 2
Step3:
LCM(2, 452) = 452
GCD(2, 452) = ( 2 x 452 ) / 452
= 2 / 452
= 2
So, Greatest Common Divisor of 400, 938, 782, 452 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 938, 782, 452
The greatest common divisor of numbers 400, 938, 782, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 938, 782, 452 is 2.
1. What is the GCD of 400, 938, 782, 452?
GCD of given numbers 400, 938, 782, 452 is 2
2. How to calculate the greatest common divisor of 400, 938, 782, 452?
We can find the highest common divisor of 400, 938, 782, 452 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, 938, 782, 452 i.e 2.
3. How can I use the GCD of 400, 938, 782, 452Calculator?
Out the numbers 400, 938, 782, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.