GCD of 461, 776, 21, 402 Calculator

Given Input numbers are 461, 776, 21, 402

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 402

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

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

Greatest Common Divisior

We found the divisors of 461, 776, 21, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 776, 21, 402 is 1.

Therefore, GCD of numbers 461, 776, 21, 402 is 1

Given Input Data is 461, 776, 21, 402

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

Prime Factorization of 461 is 461

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 21 is 3 x 7

Prime Factorization of 402 is 2 x 3 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(461, 776) = 357736

GCD(461, 776) = ( 461 x 776 ) / 357736

GCD(461, 776) = 357736 / 357736

GCD(461, 776) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 461, 776, 21, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 419, 950, 54, 684
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• GCD of 680, 916, 21, 737
• GCD of 234, 767, 77, 287
• GCD of 491, 130, 83, 902

1. What is the GCD of 461, 776, 21, 402?

GCD of 461, 776, 21, 402 is 1

2. Where do I get the detailed procedure to find GCD of 461, 776, 21, 402?

You can find a detailed procedure to find GCD of 461, 776, 21, 402 on our page.

3. How to find GCD of 461, 776, 21, 402 on a calculator?

You can find the GCD of 461, 776, 21, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.