GCD of 462, 988, 705, 603 Calculator

Given Input numbers are 462, 988, 705, 603

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Greatest Common Divisior

We found the divisors of 462, 988, 705, 603 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 988, 705, 603 is 1.

Therefore, GCD of numbers 462, 988, 705, 603 is 1

Given Input Data is 462, 988, 705, 603

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 603 is 3 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(462, 988) = 228228

GCD(462, 988) = ( 462 x 988 ) / 228228

GCD(462, 988) = 456456 / 228228

GCD(462, 988) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 705

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

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

GCD(2, 705) = 1410 / 1410

GCD(2, 705) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 603

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

LCM(1, 603) = 603

GCD(1, 603) = ( 1 x 603 ) / 603

GCD(1, 603) = 603 / 603

GCD(1, 603) = 1

GCD of 462, 988, 705, 603 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 416, 902, 422, 826
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• GCD of 800, 184, 256, 779

1. What is the GCD of 462, 988, 705, 603?

GCD of 462, 988, 705, 603 is 1

2. Where do I get the detailed procedure to find GCD of 462, 988, 705, 603?

You can find a detailed procedure to find GCD of 462, 988, 705, 603 on our page.

3. How to find GCD of 462, 988, 705, 603 on a calculator?

You can find the GCD of 462, 988, 705, 603 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.