GCD of 38, 670, 735, 995 Calculator

Given Input numbers are 38, 670, 735, 995

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Greatest Common Divisior

We found the divisors of 38, 670, 735, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 670, 735, 995 is 1.

Therefore, GCD of numbers 38, 670, 735, 995 is 1

Given Input Data is 38, 670, 735, 995

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 995 is 5 x 199

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(38, 670) = 12730

GCD(38, 670) = ( 38 x 670 ) / 12730

GCD(38, 670) = 25460 / 12730

GCD(38, 670) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 735

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

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

GCD(2, 735) = 1470 / 1470

GCD(2, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 995

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

LCM(1, 995) = 995

GCD(1, 995) = ( 1 x 995 ) / 995

GCD(1, 995) = 995 / 995

GCD(1, 995) = 1

GCD of 38, 670, 735, 995 is 1

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1. What is the GCD of 38, 670, 735, 995?

GCD of 38, 670, 735, 995 is 1

2. Where do I get the detailed procedure to find GCD of 38, 670, 735, 995?

You can find a detailed procedure to find GCD of 38, 670, 735, 995 on our page.

3. How to find GCD of 38, 670, 735, 995 on a calculator?

You can find the GCD of 38, 670, 735, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.