GCD of 892, 358, 49, 426 Calculator

Given Input numbers are 892, 358, 49, 426

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 49

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

1, 7, 49

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 892, 358, 49, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 358, 49, 426 is 1.

Therefore, GCD of numbers 892, 358, 49, 426 is 1

Given Input Data is 892, 358, 49, 426

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 358 is 2 x 179

Prime Factorization of 49 is 7 x 7

Prime Factorization of 426 is 2 x 3 x 71

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(892, 358) = 159668

GCD(892, 358) = ( 892 x 358 ) / 159668

GCD(892, 358) = 319336 / 159668

GCD(892, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 426

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

LCM(1, 426) = 426

GCD(1, 426) = ( 1 x 426 ) / 426

GCD(1, 426) = 426 / 426

GCD(1, 426) = 1

GCD of 892, 358, 49, 426 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 671, 40, 105
• GCD of 499, 798, 16, 143
• GCD of 657, 679, 77, 950
• GCD of 100, 334, 98, 941
• GCD of 348, 730, 68, 763

1. What is the GCD of 892, 358, 49, 426?

GCD of 892, 358, 49, 426 is 1

2. Where do I get the detailed procedure to find GCD of 892, 358, 49, 426?

You can find a detailed procedure to find GCD of 892, 358, 49, 426 on our page.

3. How to find GCD of 892, 358, 49, 426 on a calculator?

You can find the GCD of 892, 358, 49, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.