GCD of 738, 429, 85, 955 Calculator

Given Input numbers are 738, 429, 85, 955

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Greatest Common Divisior

We found the divisors of 738, 429, 85, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 429, 85, 955 is 1.

Therefore, GCD of numbers 738, 429, 85, 955 is 1

Given Input Data is 738, 429, 85, 955

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 85 is 5 x 17

Prime Factorization of 955 is 5 x 191

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(738, 429) = 105534

GCD(738, 429) = ( 738 x 429 ) / 105534

GCD(738, 429) = 316602 / 105534

GCD(738, 429) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 85

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

LCM(3, 85) = 255

GCD(3, 85) = ( 3 x 85 ) / 255

GCD(3, 85) = 255 / 255

GCD(3, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 955

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

LCM(1, 955) = 955

GCD(1, 955) = ( 1 x 955 ) / 955

GCD(1, 955) = 955 / 955

GCD(1, 955) = 1

GCD of 738, 429, 85, 955 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 423, 93, 897
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• GCD of 510, 550, 63, 193
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• GCD of 289, 746, 16, 172

1. What is the GCD of 738, 429, 85, 955?

GCD of 738, 429, 85, 955 is 1

2. Where do I get the detailed procedure to find GCD of 738, 429, 85, 955?

You can find a detailed procedure to find GCD of 738, 429, 85, 955 on our page.

3. How to find GCD of 738, 429, 85, 955 on a calculator?

You can find the GCD of 738, 429, 85, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.