GCD of 180, 986, 892, 315 Calculator

Given Input numbers are 180, 986, 892, 315

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (180, 986, 892, 315) = 1.

Given numbers are 180, 986, 892, 315

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 986 are 2 x 17 x 29

Prime factors of 892 are 2 x 2 x 223

Prime factors of 315 are 3 x 3 x 5 x 7

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

Given numbers are 180, 986, 892, 315

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

Apply this formula for all numbers.

Step1:

LCM(180, 986) = 88740

GCD(180, 986) = ( 180 x 986 ) / 88740

= 180 / 986

= 180

Step2:

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

= 2 / 892

= 2

Step3:

LCM(2, 315) = 630

GCD(2, 315) = ( 2 x 315 ) / 630

= 2 / 315

= 2

So, Greatest Common Divisor of 180, 986, 892, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 735, 811, 401, 737
• GCD of 770, 163, 203, 741
• GCD of 888, 664, 196, 511
• GCD of 443, 986, 160, 366
• GCD of 270, 241, 208, 387

Given numbers are 180, 986, 892, 315
The greatest common divisor of numbers 180, 986, 892, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 986, 892, 315 is 1.

1. What is the GCD of 180, 986, 892, 315?

GCD of given numbers 180, 986, 892, 315 is 1

2. How to calculate the greatest common divisor of 180, 986, 892, 315?

We can find the highest common divisor of 180, 986, 892, 315 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 180, 986, 892, 315 i.e 1.

3. How can I use the GCD of 180, 986, 892, 315Calculator?

Out the numbers 180, 986, 892, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.