GCD of 360, 140, 171, 889 Calculator

Given Input numbers are 360, 140, 171, 889

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 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

GCD of numbers is the greatest common divisor

So, the GCD (360, 140, 171, 889) = 1.

Given numbers are 360, 140, 171, 889

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 140 are 2 x 2 x 5 x 7

Prime factors of 171 are 3 x 3 x 19

Prime factors of 889 are 7 x 127

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

Given numbers are 360, 140, 171, 889

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

Apply this formula for all numbers.

Step1:

LCM(360, 140) = 2520

GCD(360, 140) = ( 360 x 140 ) / 2520

= 360 / 140

= 360

Step2:

LCM(20, 171) = 3420

GCD(20, 171) = ( 20 x 171 ) / 3420

= 20 / 171

= 20

Step3:

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

= 1 / 889

= 1

So, Greatest Common Divisor of 360, 140, 171, 889 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 613, 730, 949
• GCD of 472, 525, 981, 464
• GCD of 101, 460, 242, 361
• GCD of 851, 358, 698, 202
• GCD of 400, 970, 570, 172

Given numbers are 360, 140, 171, 889
The greatest common divisor of numbers 360, 140, 171, 889 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 140, 171, 889 is 1.

1. What is the GCD of 360, 140, 171, 889?

GCD of given numbers 360, 140, 171, 889 is 1

2. How to calculate the greatest common divisor of 360, 140, 171, 889?

We can find the highest common divisor of 360, 140, 171, 889 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, 140, 171, 889 i.e 1.

3. How can I use the GCD of 360, 140, 171, 889Calculator?

Out the numbers 360, 140, 171, 889 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.