GCD of 749, 321, 938, 615 Calculator

Given Input numbers are 749, 321, 938, 615

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 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Greatest Common Divisior

We found the divisors of 749, 321, 938, 615 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 321, 938, 615 is 1.

Therefore, GCD of numbers 749, 321, 938, 615 is 1

Given Input Data is 749, 321, 938, 615

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 321 is 3 x 107

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 615 is 3 x 5 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, 321) = 2247

GCD(749, 321) = ( 749 x 321 ) / 2247

GCD(749, 321) = 240429 / 2247

GCD(749, 321) = 107

Step2:

Here we consider the GCD from the above i.e. 107 as first number and the next as 938

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

LCM(107, 938) = 100366

GCD(107, 938) = ( 107 x 938 ) / 100366

GCD(107, 938) = 100366 / 100366

GCD(107, 938) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 615

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

LCM(1, 615) = 615

GCD(1, 615) = ( 1 x 615 ) / 615

GCD(1, 615) = 615 / 615

GCD(1, 615) = 1

GCD of 749, 321, 938, 615 is 1

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1. What is the GCD of 749, 321, 938, 615?

GCD of 749, 321, 938, 615 is 1

2. Where do I get the detailed procedure to find GCD of 749, 321, 938, 615?

You can find a detailed procedure to find GCD of 749, 321, 938, 615 on our page.

3. How to find GCD of 749, 321, 938, 615 on a calculator?

You can find the GCD of 749, 321, 938, 615 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.