GCD of 87, 737, 344, 696 Calculator

Given Input numbers are 87, 737, 344, 696

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 87, 737, 344, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 737, 344, 696 is 1.

Therefore, GCD of numbers 87, 737, 344, 696 is 1

Given Input Data is 87, 737, 344, 696

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 737 is 11 x 67

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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(87, 737) = 64119

GCD(87, 737) = ( 87 x 737 ) / 64119

GCD(87, 737) = 64119 / 64119

GCD(87, 737) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 696

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

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

GCD(1, 696) = 696 / 696

GCD(1, 696) = 1

GCD of 87, 737, 344, 696 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 969, 100, 164
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1. What is the GCD of 87, 737, 344, 696?

GCD of 87, 737, 344, 696 is 1

2. Where do I get the detailed procedure to find GCD of 87, 737, 344, 696?

You can find a detailed procedure to find GCD of 87, 737, 344, 696 on our page.

3. How to find GCD of 87, 737, 344, 696 on a calculator?

You can find the GCD of 87, 737, 344, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.