Online GCD Calculator is useful to find the GCD of 400, 285, 243, 147 quickly. Get the easiest ways to solve the greatest common divisor of 400, 285, 243, 147 i.e 1 in different methods as follows.
Given Input numbers are 400, 285, 243, 147
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 285 :
The positive integer divisors of 285 that completely divides 285 are.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
GCD of numbers is the greatest common divisor
So, the GCD (400, 285, 243, 147) = 1.
Given numbers are 400, 285, 243, 147
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 285 are 3 x 5 x 19
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 147 are 3 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 285, 243, 147
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 285) = 22800
GCD(400, 285) = ( 400 x 285 ) / 22800
= 400 / 285
= 400
Step2:
LCM(5, 243) = 1215
GCD(5, 243) = ( 5 x 243 ) / 1215
= 5 / 243
= 5
Step3:
LCM(1, 147) = 147
GCD(1, 147) = ( 1 x 147 ) / 147
= 1 / 147
= 1
So, Greatest Common Divisor of 400, 285, 243, 147 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 285, 243, 147
The greatest common divisor of numbers 400, 285, 243, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 285, 243, 147 is 1.
1. What is the GCD of 400, 285, 243, 147?
GCD of given numbers 400, 285, 243, 147 is 1
2. How to calculate the greatest common divisor of 400, 285, 243, 147?
We can find the highest common divisor of 400, 285, 243, 147 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, 285, 243, 147 i.e 1.
3. How can I use the GCD of 400, 285, 243, 147Calculator?
Out the numbers 400, 285, 243, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.