GCD of 390, 690, 85, 752 Calculator

Given Input numbers are 390, 690, 85, 752

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 390, 690, 85, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 690, 85, 752 is 1.

Therefore, GCD of numbers 390, 690, 85, 752 is 1

Given Input Data is 390, 690, 85, 752

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 85 is 5 x 17

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(390, 690) = 8970

GCD(390, 690) = ( 390 x 690 ) / 8970

GCD(390, 690) = 269100 / 8970

GCD(390, 690) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 85

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

LCM(30, 85) = 510

GCD(30, 85) = ( 30 x 85 ) / 510

GCD(30, 85) = 2550 / 510

GCD(30, 85) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 752

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

LCM(5, 752) = 3760

GCD(5, 752) = ( 5 x 752 ) / 3760

GCD(5, 752) = 3760 / 3760

GCD(5, 752) = 1

GCD of 390, 690, 85, 752 is 1

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• GCD of 157, 753, 85, 665
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1. What is the GCD of 390, 690, 85, 752?

GCD of 390, 690, 85, 752 is 1

2. Where do I get the detailed procedure to find GCD of 390, 690, 85, 752?

You can find a detailed procedure to find GCD of 390, 690, 85, 752 on our page.

3. How to find GCD of 390, 690, 85, 752 on a calculator?

You can find the GCD of 390, 690, 85, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.