GCD of 749, 315, 13, 451 Calculator

Given Input numbers are 749, 315, 13, 451

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Greatest Common Divisior

We found the divisors of 749, 315, 13, 451 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 315, 13, 451 is 1.

Therefore, GCD of numbers 749, 315, 13, 451 is 1

Given Input Data is 749, 315, 13, 451

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 13 is 13

Prime Factorization of 451 is 11 x 41

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, 315) = 33705

GCD(749, 315) = ( 749 x 315 ) / 33705

GCD(749, 315) = 235935 / 33705

GCD(749, 315) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 13

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

LCM(7, 13) = 91

GCD(7, 13) = ( 7 x 13 ) / 91

GCD(7, 13) = 91 / 91

GCD(7, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 451

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

LCM(1, 451) = 451

GCD(1, 451) = ( 1 x 451 ) / 451

GCD(1, 451) = 451 / 451

GCD(1, 451) = 1

GCD of 749, 315, 13, 451 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 841, 69, 534
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• GCD of 265, 337, 22, 832
• GCD of 144, 834, 66, 287
• GCD of 169, 740, 95, 657

1. What is the GCD of 749, 315, 13, 451?

GCD of 749, 315, 13, 451 is 1

2. Where do I get the detailed procedure to find GCD of 749, 315, 13, 451?

You can find a detailed procedure to find GCD of 749, 315, 13, 451 on our page.

3. How to find GCD of 749, 315, 13, 451 on a calculator?

You can find the GCD of 749, 315, 13, 451 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.