GCD of 898, 580, 454, 962 Calculator

Given Input numbers are 898, 580, 454, 962

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 898, 580, 454, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 580, 454, 962 is 2.

Therefore, GCD of numbers 898, 580, 454, 962 is 2

Given Input Data is 898, 580, 454, 962

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 454 is 2 x 227

Prime Factorization of 962 is 2 x 13 x 37

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(898, 580) = 260420

GCD(898, 580) = ( 898 x 580 ) / 260420

GCD(898, 580) = 520840 / 260420

GCD(898, 580) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 454

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

LCM(2, 454) = 454

GCD(2, 454) = ( 2 x 454 ) / 454

GCD(2, 454) = 908 / 454

GCD(2, 454) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 962

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

LCM(2, 962) = 962

GCD(2, 962) = ( 2 x 962 ) / 962

GCD(2, 962) = 1924 / 962

GCD(2, 962) = 2

GCD of 898, 580, 454, 962 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 854, 999, 877
• GCD of 652, 728, 433, 169
• GCD of 454, 676, 923, 747
• GCD of 464, 336, 482, 137
• GCD of 841, 603, 804, 957

1. What is the GCD of 898, 580, 454, 962?

GCD of 898, 580, 454, 962 is 2

2. Where do I get the detailed procedure to find GCD of 898, 580, 454, 962?

You can find a detailed procedure to find GCD of 898, 580, 454, 962 on our page.

3. How to find GCD of 898, 580, 454, 962 on a calculator?

You can find the GCD of 898, 580, 454, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.