GCD of 686, 926, 54, 610 Calculator

Given Input numbers are 686, 926, 54, 610

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 926

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

1, 2, 463, 926

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Greatest Common Divisior

We found the divisors of 686, 926, 54, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 926, 54, 610 is 2.

Therefore, GCD of numbers 686, 926, 54, 610 is 2

Given Input Data is 686, 926, 54, 610

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 926 is 2 x 463

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 610 is 2 x 5 x 61

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(686, 926) = 317618

GCD(686, 926) = ( 686 x 926 ) / 317618

GCD(686, 926) = 635236 / 317618

GCD(686, 926) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 610

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

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

GCD(2, 610) = 1220 / 610

GCD(2, 610) = 2

GCD of 686, 926, 54, 610 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 364, 35, 158
• GCD of 571, 758, 46, 662
• GCD of 662, 628, 38, 594
• GCD of 213, 254, 58, 433
• GCD of 916, 878, 76, 832

1. What is the GCD of 686, 926, 54, 610?

GCD of 686, 926, 54, 610 is 2

2. Where do I get the detailed procedure to find GCD of 686, 926, 54, 610?

You can find a detailed procedure to find GCD of 686, 926, 54, 610 on our page.

3. How to find GCD of 686, 926, 54, 610 on a calculator?

You can find the GCD of 686, 926, 54, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.