GCD of 356, 749, 514, 745 Calculator

Given Input numbers are 356, 749, 514, 745

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 749

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

1, 7, 107, 749

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 356, 749, 514, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 749, 514, 745 is 1.

Therefore, GCD of numbers 356, 749, 514, 745 is 1

Given Input Data is 356, 749, 514, 745

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 749 is 7 x 107

Prime Factorization of 514 is 2 x 257

Prime Factorization of 745 is 5 x 149

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(356, 749) = 266644

GCD(356, 749) = ( 356 x 749 ) / 266644

GCD(356, 749) = 266644 / 266644

GCD(356, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 356, 749, 514, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 598, 910, 972
• GCD of 974, 423, 228, 197
• GCD of 689, 591, 837, 610
• GCD of 325, 221, 634, 787
• GCD of 355, 205, 699, 889

1. What is the GCD of 356, 749, 514, 745?

GCD of 356, 749, 514, 745 is 1

2. Where do I get the detailed procedure to find GCD of 356, 749, 514, 745?

You can find a detailed procedure to find GCD of 356, 749, 514, 745 on our page.

3. How to find GCD of 356, 749, 514, 745 on a calculator?

You can find the GCD of 356, 749, 514, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.