GCD of 135, 402, 899, 690 Calculator

Given Input numbers are 135, 402, 899, 690

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

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 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 135, 402, 899, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 402, 899, 690 is 1.

Therefore, GCD of numbers 135, 402, 899, 690 is 1

Given Input Data is 135, 402, 899, 690

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 899 is 29 x 31

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(135, 402) = 18090

GCD(135, 402) = ( 135 x 402 ) / 18090

GCD(135, 402) = 54270 / 18090

GCD(135, 402) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 899

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

LCM(3, 899) = 2697

GCD(3, 899) = ( 3 x 899 ) / 2697

GCD(3, 899) = 2697 / 2697

GCD(3, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 135, 402, 899, 690 is 1

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• GCD of 586, 153, 610, 985
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• GCD of 686, 675, 244, 138

1. What is the GCD of 135, 402, 899, 690?

GCD of 135, 402, 899, 690 is 1

2. Where do I get the detailed procedure to find GCD of 135, 402, 899, 690?

You can find a detailed procedure to find GCD of 135, 402, 899, 690 on our page.

3. How to find GCD of 135, 402, 899, 690 on a calculator?

You can find the GCD of 135, 402, 899, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.