Online GCD Calculator is useful to find the GCD of 400, 232, 987, 145 quickly. Get the easiest ways to solve the greatest common divisor of 400, 232, 987, 145 i.e 1 in different methods as follows.
Given Input numbers are 400, 232, 987, 145
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 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
GCD of numbers is the greatest common divisor
So, the GCD (400, 232, 987, 145) = 1.
Given numbers are 400, 232, 987, 145
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 232 are 2 x 2 x 2 x 29
Prime factors of 987 are 3 x 7 x 47
Prime factors of 145 are 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 232, 987, 145
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 232) = 11600
GCD(400, 232) = ( 400 x 232 ) / 11600
= 400 / 232
= 400
Step2:
LCM(8, 987) = 7896
GCD(8, 987) = ( 8 x 987 ) / 7896
= 8 / 987
= 8
Step3:
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
= 1 / 145
= 1
So, Greatest Common Divisor of 400, 232, 987, 145 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 232, 987, 145
The greatest common divisor of numbers 400, 232, 987, 145 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 232, 987, 145 is 1.
1. What is the GCD of 400, 232, 987, 145?
GCD of given numbers 400, 232, 987, 145 is 1
2. How to calculate the greatest common divisor of 400, 232, 987, 145?
We can find the highest common divisor of 400, 232, 987, 145 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, 232, 987, 145 i.e 1.
3. How can I use the GCD of 400, 232, 987, 145Calculator?
Out the numbers 400, 232, 987, 145 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.