GCD of 495, 435, 152, 702 Calculator

Given Input numbers are 495, 435, 152, 702

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 495, 435, 152, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 435, 152, 702 is 1.

Therefore, GCD of numbers 495, 435, 152, 702 is 1

Given Input Data is 495, 435, 152, 702

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(495, 435) = 14355

GCD(495, 435) = ( 495 x 435 ) / 14355

GCD(495, 435) = 215325 / 14355

GCD(495, 435) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 152

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

LCM(15, 152) = 2280

GCD(15, 152) = ( 15 x 152 ) / 2280

GCD(15, 152) = 2280 / 2280

GCD(15, 152) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 495, 435, 152, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 685, 733, 958
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• GCD of 725, 404, 321, 188

1. What is the GCD of 495, 435, 152, 702?

GCD of 495, 435, 152, 702 is 1

2. Where do I get the detailed procedure to find GCD of 495, 435, 152, 702?

You can find a detailed procedure to find GCD of 495, 435, 152, 702 on our page.

3. How to find GCD of 495, 435, 152, 702 on a calculator?

You can find the GCD of 495, 435, 152, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.