GCD of 871, 936, 507, 320 Calculator

Given Input numbers are 871, 936, 507, 320

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

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (871, 936, 507, 320) = 1.

Given numbers are 871, 936, 507, 320

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 507 are 3 x 13 x 13

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 871, 936, 507, 320

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

Apply this formula for all numbers.

Step1:

LCM(871, 936) = 62712

GCD(871, 936) = ( 871 x 936 ) / 62712

= 871 / 936

= 871

Step2:

LCM(13, 507) = 507

GCD(13, 507) = ( 13 x 507 ) / 507

= 13 / 507

= 13

Step3:

LCM(13, 320) = 4160

GCD(13, 320) = ( 13 x 320 ) / 4160

= 13 / 320

= 13

So, Greatest Common Divisor of 871, 936, 507, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 605, 524, 523
• GCD of 961, 427, 534, 106
• GCD of 506, 152, 839, 784
• GCD of 486, 666, 501, 370
• GCD of 201, 553, 903, 842

Given numbers are 871, 936, 507, 320
The greatest common divisor of numbers 871, 936, 507, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 936, 507, 320 is 1.

1. What is the GCD of 871, 936, 507, 320?

GCD of given numbers 871, 936, 507, 320 is 1

2. How to calculate the greatest common divisor of 871, 936, 507, 320?

We can find the highest common divisor of 871, 936, 507, 320 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 871, 936, 507, 320 i.e 1.

3. How can I use the GCD of 871, 936, 507, 320Calculator?

Out the numbers 871, 936, 507, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.