GCD of 262, 980, 402, 824 Calculator

Given Input numbers are 262, 980, 402, 824

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

Divisors of 262

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

1, 2, 131, 262

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 262, 980, 402, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 980, 402, 824 is 2.

Therefore, GCD of numbers 262, 980, 402, 824 is 2

Given Input Data is 262, 980, 402, 824

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

Prime Factorization of 262 is 2 x 131

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(262, 980) = 128380

GCD(262, 980) = ( 262 x 980 ) / 128380

GCD(262, 980) = 256760 / 128380

GCD(262, 980) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 402

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

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

GCD(2, 402) = 804 / 402

GCD(2, 402) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 824

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

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

GCD(2, 824) = 1648 / 824

GCD(2, 824) = 2

GCD of 262, 980, 402, 824 is 2

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1. What is the GCD of 262, 980, 402, 824?

GCD of 262, 980, 402, 824 is 2

2. Where do I get the detailed procedure to find GCD of 262, 980, 402, 824?

You can find a detailed procedure to find GCD of 262, 980, 402, 824 on our page.

3. How to find GCD of 262, 980, 402, 824 on a calculator?

You can find the GCD of 262, 980, 402, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.