GCD of 360, 705, 913, 765 Calculator

Given Input numbers are 360, 705, 913, 765

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

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

Greatest Common Divisior

We found the divisors of 360, 705, 913, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 705, 913, 765 is 1.

Therefore, GCD of numbers 360, 705, 913, 765 is 1

Given Input Data is 360, 705, 913, 765

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 913 is 11 x 83

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

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(360, 705) = 16920

GCD(360, 705) = ( 360 x 705 ) / 16920

GCD(360, 705) = 253800 / 16920

GCD(360, 705) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 913

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

LCM(15, 913) = 13695

GCD(15, 913) = ( 15 x 913 ) / 13695

GCD(15, 913) = 13695 / 13695

GCD(15, 913) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

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

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

GCD of 360, 705, 913, 765 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 863, 488, 598
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• GCD of 990, 817, 308, 661

1. What is the GCD of 360, 705, 913, 765?

GCD of 360, 705, 913, 765 is 1

2. Where do I get the detailed procedure to find GCD of 360, 705, 913, 765?

You can find a detailed procedure to find GCD of 360, 705, 913, 765 on our page.

3. How to find GCD of 360, 705, 913, 765 on a calculator?

You can find the GCD of 360, 705, 913, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.