GCD of 745, 320, 323, 840 Calculator

Given Input numbers are 745, 320, 323, 840

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

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

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 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

GCD of numbers is the greatest common divisor

So, the GCD (745, 320, 323, 840) = 1.

Given numbers are 745, 320, 323, 840

The list of prime factors of all numbers are

Prime factors of 745 are 5 x 149

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

Prime factors of 323 are 17 x 19

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

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

Given numbers are 745, 320, 323, 840

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

Apply this formula for all numbers.

Step1:

LCM(745, 320) = 47680

GCD(745, 320) = ( 745 x 320 ) / 47680

= 745 / 320

= 745

Step2:

LCM(5, 323) = 1615

GCD(5, 323) = ( 5 x 323 ) / 1615

= 5 / 323

= 5

Step3:

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

= 1 / 840

= 1

So, Greatest Common Divisor of 745, 320, 323, 840 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 540, 274, 561, 898
• GCD of 188, 932, 812, 839
• GCD of 803, 726, 189, 416
• GCD of 357, 829, 411, 635
• GCD of 656, 163, 916, 808

Given numbers are 745, 320, 323, 840
The greatest common divisor of numbers 745, 320, 323, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 745, 320, 323, 840 is 1.

1. What is the GCD of 745, 320, 323, 840?

GCD of given numbers 745, 320, 323, 840 is 1

2. How to calculate the greatest common divisor of 745, 320, 323, 840?

We can find the highest common divisor of 745, 320, 323, 840 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 745, 320, 323, 840 i.e 1.

3. How can I use the GCD of 745, 320, 323, 840Calculator?

Out the numbers 745, 320, 323, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.