GCD of 360, 550, 677, 401 Calculator

Given Input numbers are 360, 550, 677, 401

In the factoring method, we have to find the divisors of all numbers

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401

GCD of numbers is the greatest common divisor

So, the GCD (360, 550, 677, 401) = 1.

Given numbers are 360, 550, 677, 401

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 677 are 677

Prime factors of 401 are 401

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 360, 550, 677, 401

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(360, 550) = 19800

GCD(360, 550) = ( 360 x 550 ) / 19800

= 360 / 550

= 360

Step2:

LCM(10, 677) = 6770

GCD(10, 677) = ( 10 x 677 ) / 6770

= 10 / 677

= 10

Step3:

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

= 1 / 401

= 1

So, Greatest Common Divisor of 360, 550, 677, 401 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 561, 204, 627
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Given numbers are 360, 550, 677, 401
The greatest common divisor of numbers 360, 550, 677, 401 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 550, 677, 401 is 1.

1. What is the GCD of 360, 550, 677, 401?

GCD of given numbers 360, 550, 677, 401 is 1

2. How to calculate the greatest common divisor of 360, 550, 677, 401?

We can find the highest common divisor of 360, 550, 677, 401 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 360, 550, 677, 401 i.e 1.

3. How can I use the GCD of 360, 550, 677, 401Calculator?

Out the numbers 360, 550, 677, 401 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.