GCD of 374, 152, 749 Calculator

Given Input numbers are 374, 152, 749

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

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 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 749

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

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 374, 152, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 152, 749 is 1.

Therefore, GCD of numbers 374, 152, 749 is 1

Given Input Data is 374, 152, 749

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 749 is 7 x 107

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(374, 152) = 28424

GCD(374, 152) = ( 374 x 152 ) / 28424

GCD(374, 152) = 56848 / 28424

GCD(374, 152) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 749

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

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

GCD(2, 749) = 1498 / 1498

GCD(2, 749) = 1

GCD of 374, 152, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 534, 389
• GCD of 985, 435, 256
• GCD of 714, 415, 169
• GCD of 590, 781, 431
• GCD of 234, 804, 624

1. What is the GCD of 374, 152, 749?

GCD of 374, 152, 749 is 1

2. Where do I get the detailed procedure to find GCD of 374, 152, 749?

You can find a detailed procedure to find GCD of 374, 152, 749 on our page.

3. How to find GCD of 374, 152, 749 on a calculator?

You can find the GCD of 374, 152, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.