GCD of 892, 632, 949, 469 Calculator

Given Input numbers are 892, 632, 949, 469

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 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 892, 632, 949, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 632, 949, 469 is 1.

Therefore, GCD of numbers 892, 632, 949, 469 is 1

Given Input Data is 892, 632, 949, 469

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 632 is 2 x 2 x 2 x 79

Prime Factorization of 949 is 13 x 73

Prime Factorization of 469 is 7 x 67

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, 632) = 140936

GCD(892, 632) = ( 892 x 632 ) / 140936

GCD(892, 632) = 563744 / 140936

GCD(892, 632) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 949

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

LCM(4, 949) = 3796

GCD(4, 949) = ( 4 x 949 ) / 3796

GCD(4, 949) = 3796 / 3796

GCD(4, 949) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 892, 632, 949, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 118, 812, 742
• GCD of 363, 585, 801, 642
• GCD of 936, 593, 129, 958
• GCD of 749, 744, 329, 835
• GCD of 407, 222, 731, 729

1. What is the GCD of 892, 632, 949, 469?

GCD of 892, 632, 949, 469 is 1

2. Where do I get the detailed procedure to find GCD of 892, 632, 949, 469?

You can find a detailed procedure to find GCD of 892, 632, 949, 469 on our page.

3. How to find GCD of 892, 632, 949, 469 on a calculator?

You can find the GCD of 892, 632, 949, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.