GCD of 749, 470, 135, 415 Calculator

Given Input numbers are 749, 470, 135, 415

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

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 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 749, 470, 135, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 470, 135, 415 is 1.

Therefore, GCD of numbers 749, 470, 135, 415 is 1

Given Input Data is 749, 470, 135, 415

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 470 is 2 x 5 x 47

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

Prime Factorization of 415 is 5 x 83

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(749, 470) = 352030

GCD(749, 470) = ( 749 x 470 ) / 352030

GCD(749, 470) = 352030 / 352030

GCD(749, 470) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 415

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

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

GCD(1, 415) = 415 / 415

GCD(1, 415) = 1

GCD of 749, 470, 135, 415 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 305, 110, 929
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• GCD of 137, 493, 446, 229
• GCD of 324, 902, 520, 510
• GCD of 776, 215, 379, 654

1. What is the GCD of 749, 470, 135, 415?

GCD of 749, 470, 135, 415 is 1

2. Where do I get the detailed procedure to find GCD of 749, 470, 135, 415?

You can find a detailed procedure to find GCD of 749, 470, 135, 415 on our page.

3. How to find GCD of 749, 470, 135, 415 on a calculator?

You can find the GCD of 749, 470, 135, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.