GCD of 369, 331, 765, 900 Calculator

Given Input numbers are 369, 331, 765, 900

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

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

GCD of numbers is the greatest common divisor

So, the GCD (369, 331, 765, 900) = 1.

Given numbers are 369, 331, 765, 900

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 331 are 331

Prime factors of 765 are 3 x 3 x 5 x 17

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

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

Given numbers are 369, 331, 765, 900

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

Apply this formula for all numbers.

Step1:

LCM(369, 331) = 122139

GCD(369, 331) = ( 369 x 331 ) / 122139

= 369 / 331

= 369

Step2:

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

= 1 / 765

= 1

Step3:

LCM(1, 900) = 900

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

= 1 / 900

= 1

So, Greatest Common Divisor of 369, 331, 765, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 994, 369, 703, 936
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• GCD of 319, 800, 540, 300
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• GCD of 852, 262, 902, 569

Given numbers are 369, 331, 765, 900
The greatest common divisor of numbers 369, 331, 765, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 331, 765, 900 is 1.

1. What is the GCD of 369, 331, 765, 900?

GCD of given numbers 369, 331, 765, 900 is 1

2. How to calculate the greatest common divisor of 369, 331, 765, 900?

We can find the highest common divisor of 369, 331, 765, 900 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 369, 331, 765, 900 i.e 1.

3. How can I use the GCD of 369, 331, 765, 900Calculator?

Out the numbers 369, 331, 765, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.