GCD of 375, 109, 900, 320 Calculator

Given Input numbers are 375, 109, 900, 320

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

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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 (375, 109, 900, 320) = 1.

Given numbers are 375, 109, 900, 320

The list of prime factors of all numbers are

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 109 are 109

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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 375, 109, 900, 320

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

Apply this formula for all numbers.

Step1:

LCM(375, 109) = 40875

GCD(375, 109) = ( 375 x 109 ) / 40875

= 375 / 109

= 375

Step2:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1

So, Greatest Common Divisor of 375, 109, 900, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 853, 403, 617, 264
• GCD of 839, 921, 311, 174
• GCD of 404, 510, 282, 997
• GCD of 223, 616, 426, 805
• GCD of 665, 327, 834, 846

Given numbers are 375, 109, 900, 320
The greatest common divisor of numbers 375, 109, 900, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 109, 900, 320 is 1.

1. What is the GCD of 375, 109, 900, 320?

GCD of given numbers 375, 109, 900, 320 is 1

2. How to calculate the greatest common divisor of 375, 109, 900, 320?

We can find the highest common divisor of 375, 109, 900, 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 375, 109, 900, 320 i.e 1.

3. How can I use the GCD of 375, 109, 900, 320Calculator?

Out the numbers 375, 109, 900, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.