GCD of 921, 465, 320, 686 Calculator

Given Input numbers are 921, 465, 320, 686

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (921, 465, 320, 686) = 1.

Given numbers are 921, 465, 320, 686

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

Prime factors of 465 are 3 x 5 x 31

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

Prime factors of 686 are 2 x 7 x 7 x 7

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

Given numbers are 921, 465, 320, 686

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

Apply this formula for all numbers.

Step1:

LCM(921, 465) = 142755

GCD(921, 465) = ( 921 x 465 ) / 142755

= 921 / 465

= 921

Step2:

LCM(3, 320) = 960

GCD(3, 320) = ( 3 x 320 ) / 960

= 3 / 320

= 3

Step3:

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

= 1 / 686

= 1

So, Greatest Common Divisor of 921, 465, 320, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 706, 567, 322
• GCD of 924, 565, 758, 108
• GCD of 552, 993, 343, 721
• GCD of 588, 218, 909, 239
• GCD of 100, 593, 182, 202

Given numbers are 921, 465, 320, 686
The greatest common divisor of numbers 921, 465, 320, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 465, 320, 686 is 1.

1. What is the GCD of 921, 465, 320, 686?

GCD of given numbers 921, 465, 320, 686 is 1

2. How to calculate the greatest common divisor of 921, 465, 320, 686?

We can find the highest common divisor of 921, 465, 320, 686 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 921, 465, 320, 686 i.e 1.

3. How can I use the GCD of 921, 465, 320, 686Calculator?

Out the numbers 921, 465, 320, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.