GCD of 74, 662, 869, 764 Calculator

Given Input numbers are 74, 662, 869, 764

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 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 74, 662, 869, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 662, 869, 764 is 1.

Therefore, GCD of numbers 74, 662, 869, 764 is 1

Given Input Data is 74, 662, 869, 764

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 662 is 2 x 331

Prime Factorization of 869 is 11 x 79

Prime Factorization of 764 is 2 x 2 x 191

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, 662) = 24494

GCD(74, 662) = ( 74 x 662 ) / 24494

GCD(74, 662) = 48988 / 24494

GCD(74, 662) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 869

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

LCM(2, 869) = 1738

GCD(2, 869) = ( 2 x 869 ) / 1738

GCD(2, 869) = 1738 / 1738

GCD(2, 869) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

GCD of 74, 662, 869, 764 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 769, 841, 853
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• GCD of 25, 922, 458, 137
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• GCD of 20, 234, 709, 832

1. What is the GCD of 74, 662, 869, 764?

GCD of 74, 662, 869, 764 is 1

2. Where do I get the detailed procedure to find GCD of 74, 662, 869, 764?

You can find a detailed procedure to find GCD of 74, 662, 869, 764 on our page.

3. How to find GCD of 74, 662, 869, 764 on a calculator?

You can find the GCD of 74, 662, 869, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.