GCD of 35, 749, 370, 585 Calculator

Given Input numbers are 35, 749, 370, 585

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 35, 749, 370, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 749, 370, 585 is 1.

Therefore, GCD of numbers 35, 749, 370, 585 is 1

Given Input Data is 35, 749, 370, 585

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 749 is 7 x 107

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 585 is 3 x 3 x 5 x 13

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(35, 749) = 3745

GCD(35, 749) = ( 35 x 749 ) / 3745

GCD(35, 749) = 26215 / 3745

GCD(35, 749) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 370

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

LCM(7, 370) = 2590

GCD(7, 370) = ( 7 x 370 ) / 2590

GCD(7, 370) = 2590 / 2590

GCD(7, 370) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 35, 749, 370, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 518, 112, 943
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• GCD of 91, 704, 586, 773
• GCD of 77, 774, 126, 974
• GCD of 92, 789, 409, 161

1. What is the GCD of 35, 749, 370, 585?

GCD of 35, 749, 370, 585 is 1

2. Where do I get the detailed procedure to find GCD of 35, 749, 370, 585?

You can find a detailed procedure to find GCD of 35, 749, 370, 585 on our page.

3. How to find GCD of 35, 749, 370, 585 on a calculator?

You can find the GCD of 35, 749, 370, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.