GCD of 320, 169, 24, 400 Calculator

Given Input numbers are 320, 169, 24, 400

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

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 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (320, 169, 24, 400) = 1.

Given numbers are 320, 169, 24, 400

The list of prime factors of all numbers are

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

Prime factors of 169 are 13 x 13

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 320, 169, 24, 400

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

Apply this formula for all numbers.

Step1:

LCM(320, 169) = 54080

GCD(320, 169) = ( 320 x 169 ) / 54080

= 320 / 169

= 320

Step2:

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

= 1 / 24

= 1

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 320, 169, 24, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 585, 21, 770
• GCD of 740, 491, 83, 169
• GCD of 890, 350, 80, 957
• GCD of 637, 377, 13, 262
• GCD of 419, 363, 35, 714

Given numbers are 320, 169, 24, 400
The greatest common divisor of numbers 320, 169, 24, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 169, 24, 400 is 1.

1. What is the GCD of 320, 169, 24, 400?

GCD of given numbers 320, 169, 24, 400 is 1

2. How to calculate the greatest common divisor of 320, 169, 24, 400?

We can find the highest common divisor of 320, 169, 24, 400 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 320, 169, 24, 400 i.e 1.

3. How can I use the GCD of 320, 169, 24, 400Calculator?

Out the numbers 320, 169, 24, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.