GCD of 74, 735, 164, 491 Calculator

Given Input numbers are 74, 735, 164, 491

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 74, 735, 164, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 735, 164, 491 is 1.

Therefore, GCD of numbers 74, 735, 164, 491 is 1

Given Input Data is 74, 735, 164, 491

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

Prime Factorization of 74 is 2 x 37

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 491 is 491

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(74, 735) = 54390

GCD(74, 735) = ( 74 x 735 ) / 54390

GCD(74, 735) = 54390 / 54390

GCD(74, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 74, 735, 164, 491 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 689, 246, 153
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• GCD of 98, 345, 647, 848
• GCD of 77, 794, 114, 904
• GCD of 13, 559, 693, 211

1. What is the GCD of 74, 735, 164, 491?

GCD of 74, 735, 164, 491 is 1

2. Where do I get the detailed procedure to find GCD of 74, 735, 164, 491?

You can find a detailed procedure to find GCD of 74, 735, 164, 491 on our page.

3. How to find GCD of 74, 735, 164, 491 on a calculator?

You can find the GCD of 74, 735, 164, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.