Online GCD Calculator is useful to find the GCD of 400, 177, 346, 270 quickly. Get the easiest ways to solve the greatest common divisor of 400, 177, 346, 270 i.e 1 in different methods as follows.
Given Input numbers are 400, 177, 346, 270
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 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
Divisors of 346 :
The positive integer divisors of 346 that completely divides 346 are.
1, 2, 173, 346
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD of numbers is the greatest common divisor
So, the GCD (400, 177, 346, 270) = 1.
Given numbers are 400, 177, 346, 270
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 177 are 3 x 59
Prime factors of 346 are 2 x 173
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 177, 346, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 177) = 70800
GCD(400, 177) = ( 400 x 177 ) / 70800
= 400 / 177
= 400
Step2:
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
= 1 / 346
= 1
Step3:
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
= 1 / 270
= 1
So, Greatest Common Divisor of 400, 177, 346, 270 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 177, 346, 270
The greatest common divisor of numbers 400, 177, 346, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 177, 346, 270 is 1.
1. What is the GCD of 400, 177, 346, 270?
GCD of given numbers 400, 177, 346, 270 is 1
2. How to calculate the greatest common divisor of 400, 177, 346, 270?
We can find the highest common divisor of 400, 177, 346, 270 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, 177, 346, 270 i.e 1.
3. How can I use the GCD of 400, 177, 346, 270Calculator?
Out the numbers 400, 177, 346, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.