GCD of 154, 765, 465, 500 Calculator

Given Input numbers are 154, 765, 465, 500

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 154, 765, 465, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 765, 465, 500 is 1.

Therefore, GCD of numbers 154, 765, 465, 500 is 1

Given Input Data is 154, 765, 465, 500

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(154, 765) = 117810

GCD(154, 765) = ( 154 x 765 ) / 117810

GCD(154, 765) = 117810 / 117810

GCD(154, 765) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 154, 765, 465, 500 is 1

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• GCD of 251, 456, 357, 411
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• GCD of 515, 161, 839, 949

1. What is the GCD of 154, 765, 465, 500?

GCD of 154, 765, 465, 500 is 1

2. Where do I get the detailed procedure to find GCD of 154, 765, 465, 500?

You can find a detailed procedure to find GCD of 154, 765, 465, 500 on our page.

3. How to find GCD of 154, 765, 465, 500 on a calculator?

You can find the GCD of 154, 765, 465, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.