GCD of 926, 354, 850, 689 Calculator

Given Input numbers are 926, 354, 850, 689

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

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 354

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

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

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 926, 354, 850, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 926, 354, 850, 689 is 1.

Therefore, GCD of numbers 926, 354, 850, 689 is 1

Given Input Data is 926, 354, 850, 689

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

Prime Factorization of 926 is 2 x 463

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 689 is 13 x 53

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(926, 354) = 163902

GCD(926, 354) = ( 926 x 354 ) / 163902

GCD(926, 354) = 327804 / 163902

GCD(926, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 850

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

LCM(2, 850) = 850

GCD(2, 850) = ( 2 x 850 ) / 850

GCD(2, 850) = 1700 / 850

GCD(2, 850) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 689

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

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

GCD(2, 689) = 1378 / 1378

GCD(2, 689) = 1

GCD of 926, 354, 850, 689 is 1

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1. What is the GCD of 926, 354, 850, 689?

GCD of 926, 354, 850, 689 is 1

2. Where do I get the detailed procedure to find GCD of 926, 354, 850, 689?

You can find a detailed procedure to find GCD of 926, 354, 850, 689 on our page.

3. How to find GCD of 926, 354, 850, 689 on a calculator?

You can find the GCD of 926, 354, 850, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.