GCD of 749, 374, 514, 747 Calculator

Given Input numbers are 749, 374, 514, 747

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 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 514

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

1, 2, 257, 514

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 749, 374, 514, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 374, 514, 747 is 1.

Therefore, GCD of numbers 749, 374, 514, 747 is 1

Given Input Data is 749, 374, 514, 747

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 514 is 2 x 257

Prime Factorization of 747 is 3 x 3 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, 374) = 280126

GCD(749, 374) = ( 749 x 374 ) / 280126

GCD(749, 374) = 280126 / 280126

GCD(749, 374) = 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 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 749, 374, 514, 747 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 999, 576, 696
• GCD of 223, 575, 644, 248
• GCD of 335, 151, 186, 215
• GCD of 599, 244, 325, 543
• GCD of 442, 271, 559, 409

1. What is the GCD of 749, 374, 514, 747?

GCD of 749, 374, 514, 747 is 1

2. Where do I get the detailed procedure to find GCD of 749, 374, 514, 747?

You can find a detailed procedure to find GCD of 749, 374, 514, 747 on our page.

3. How to find GCD of 749, 374, 514, 747 on a calculator?

You can find the GCD of 749, 374, 514, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.