GCD of 687, 728, 70, 354 Calculator

Given Input numbers are 687, 728, 70, 354

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 687, 728, 70, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 728, 70, 354 is 1.

Therefore, GCD of numbers 687, 728, 70, 354 is 1

Given Input Data is 687, 728, 70, 354

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 354 is 2 x 3 x 59

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(687, 728) = 500136

GCD(687, 728) = ( 687 x 728 ) / 500136

GCD(687, 728) = 500136 / 500136

GCD(687, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 687, 728, 70, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 431, 60, 169
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• GCD of 736, 289, 97, 267
• GCD of 858, 988, 26, 461
• GCD of 384, 122, 76, 369

1. What is the GCD of 687, 728, 70, 354?

GCD of 687, 728, 70, 354 is 1

2. Where do I get the detailed procedure to find GCD of 687, 728, 70, 354?

You can find a detailed procedure to find GCD of 687, 728, 70, 354 on our page.

3. How to find GCD of 687, 728, 70, 354 on a calculator?

You can find the GCD of 687, 728, 70, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.