GCD of 165, 740, 499, 900 Calculator

Given Input numbers are 165, 740, 499, 900

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 499 :

The positive integer divisors of 499 that completely divides 499 are.

1, 499

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 (165, 740, 499, 900) = 1.

Given numbers are 165, 740, 499, 900

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 499 are 499

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 165, 740, 499, 900

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

Apply this formula for all numbers.

Step1:

LCM(165, 740) = 24420

GCD(165, 740) = ( 165 x 740 ) / 24420

= 165 / 740

= 165

Step2:

LCM(5, 499) = 2495

GCD(5, 499) = ( 5 x 499 ) / 2495

= 5 / 499

= 5

Step3:

LCM(1, 900) = 900

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

= 1 / 900

= 1

So, Greatest Common Divisor of 165, 740, 499, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 496, 575, 932
• GCD of 964, 433, 290, 373
• GCD of 604, 245, 685, 431
• GCD of 248, 251, 179, 805
• GCD of 269, 348, 324, 183

Given numbers are 165, 740, 499, 900
The greatest common divisor of numbers 165, 740, 499, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 740, 499, 900 is 1.

1. What is the GCD of 165, 740, 499, 900?

GCD of given numbers 165, 740, 499, 900 is 1

2. How to calculate the greatest common divisor of 165, 740, 499, 900?

We can find the highest common divisor of 165, 740, 499, 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 165, 740, 499, 900 i.e 1.

3. How can I use the GCD of 165, 740, 499, 900Calculator?

Out the numbers 165, 740, 499, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.