GCD of 457, 682, 103, 402 Calculator

Given Input numbers are 457, 682, 103, 402

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

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 457, 682, 103, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 682, 103, 402 is 1.

Therefore, GCD of numbers 457, 682, 103, 402 is 1

Given Input Data is 457, 682, 103, 402

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

Prime Factorization of 457 is 457

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 103 is 103

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(457, 682) = 311674

GCD(457, 682) = ( 457 x 682 ) / 311674

GCD(457, 682) = 311674 / 311674

GCD(457, 682) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 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 457, 682, 103, 402 is 1

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• GCD of 680, 820, 166, 869
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• GCD of 633, 120, 934, 457

1. What is the GCD of 457, 682, 103, 402?

GCD of 457, 682, 103, 402 is 1

2. Where do I get the detailed procedure to find GCD of 457, 682, 103, 402?

You can find a detailed procedure to find GCD of 457, 682, 103, 402 on our page.

3. How to find GCD of 457, 682, 103, 402 on a calculator?

You can find the GCD of 457, 682, 103, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.