GCD of 850, 415, 49, 262 Calculator

Given Input numbers are 850, 415, 49, 262

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

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 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Greatest Common Divisior

We found the divisors of 850, 415, 49, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 415, 49, 262 is 1.

Therefore, GCD of numbers 850, 415, 49, 262 is 1

Given Input Data is 850, 415, 49, 262

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

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

Prime Factorization of 415 is 5 x 83

Prime Factorization of 49 is 7 x 7

Prime Factorization of 262 is 2 x 131

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(850, 415) = 70550

GCD(850, 415) = ( 850 x 415 ) / 70550

GCD(850, 415) = 352750 / 70550

GCD(850, 415) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 49

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

LCM(5, 49) = 245

GCD(5, 49) = ( 5 x 49 ) / 245

GCD(5, 49) = 245 / 245

GCD(5, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 262

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

LCM(1, 262) = 262

GCD(1, 262) = ( 1 x 262 ) / 262

GCD(1, 262) = 262 / 262

GCD(1, 262) = 1

GCD of 850, 415, 49, 262 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 641, 90, 518
• GCD of 679, 847, 22, 996
• GCD of 770, 906, 39, 803
• GCD of 228, 292, 54, 499
• GCD of 150, 797, 43, 396

1. What is the GCD of 850, 415, 49, 262?

GCD of 850, 415, 49, 262 is 1

2. Where do I get the detailed procedure to find GCD of 850, 415, 49, 262?

You can find a detailed procedure to find GCD of 850, 415, 49, 262 on our page.

3. How to find GCD of 850, 415, 49, 262 on a calculator?

You can find the GCD of 850, 415, 49, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.