GCD of 760, 436, 730, 775 Calculator

Given Input numbers are 760, 436, 730, 775

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 760, 436, 730, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 436, 730, 775 is 1.

Therefore, GCD of numbers 760, 436, 730, 775 is 1

Given Input Data is 760, 436, 730, 775

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 775 is 5 x 5 x 31

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(760, 436) = 82840

GCD(760, 436) = ( 760 x 436 ) / 82840

GCD(760, 436) = 331360 / 82840

GCD(760, 436) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 730

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

LCM(4, 730) = 1460

GCD(4, 730) = ( 4 x 730 ) / 1460

GCD(4, 730) = 2920 / 1460

GCD(4, 730) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 775

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

LCM(2, 775) = 1550

GCD(2, 775) = ( 2 x 775 ) / 1550

GCD(2, 775) = 1550 / 1550

GCD(2, 775) = 1

GCD of 760, 436, 730, 775 is 1

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1. What is the GCD of 760, 436, 730, 775?

GCD of 760, 436, 730, 775 is 1

2. Where do I get the detailed procedure to find GCD of 760, 436, 730, 775?

You can find a detailed procedure to find GCD of 760, 436, 730, 775 on our page.

3. How to find GCD of 760, 436, 730, 775 on a calculator?

You can find the GCD of 760, 436, 730, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.