GCD of 749, 958, 83, 575 Calculator

Given Input numbers are 749, 958, 83, 575

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 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 749, 958, 83, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 958, 83, 575 is 1.

Therefore, GCD of numbers 749, 958, 83, 575 is 1

Given Input Data is 749, 958, 83, 575

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 958 is 2 x 479

Prime Factorization of 83 is 83

Prime Factorization of 575 is 5 x 5 x 23

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, 958) = 717542

GCD(749, 958) = ( 749 x 958 ) / 717542

GCD(749, 958) = 717542 / 717542

GCD(749, 958) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 575

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

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

GCD(1, 575) = 575 / 575

GCD(1, 575) = 1

GCD of 749, 958, 83, 575 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 528, 86, 453
• GCD of 801, 978, 44, 169
• GCD of 174, 198, 53, 796
• GCD of 721, 466, 81, 622
• GCD of 558, 138, 39, 162

1. What is the GCD of 749, 958, 83, 575?

GCD of 749, 958, 83, 575 is 1

2. Where do I get the detailed procedure to find GCD of 749, 958, 83, 575?

You can find a detailed procedure to find GCD of 749, 958, 83, 575 on our page.

3. How to find GCD of 749, 958, 83, 575 on a calculator?

You can find the GCD of 749, 958, 83, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.