GCD of 962, 378, 918, 749 Calculator

Given Input numbers are 962, 378, 918, 749

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

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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 962, 378, 918, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 962, 378, 918, 749 is 1.

Therefore, GCD of numbers 962, 378, 918, 749 is 1

Given Input Data is 962, 378, 918, 749

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

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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(962, 378) = 181818

GCD(962, 378) = ( 962 x 378 ) / 181818

GCD(962, 378) = 363636 / 181818

GCD(962, 378) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 918

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

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

GCD(2, 918) = 1836 / 918

GCD(2, 918) = 2

Step3:

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 962, 378, 918, 749 is 1

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1. What is the GCD of 962, 378, 918, 749?

GCD of 962, 378, 918, 749 is 1

2. Where do I get the detailed procedure to find GCD of 962, 378, 918, 749?

You can find a detailed procedure to find GCD of 962, 378, 918, 749 on our page.

3. How to find GCD of 962, 378, 918, 749 on a calculator?

You can find the GCD of 962, 378, 918, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.