GCD of 752, 295, 654, 114 Calculator

Given Input numbers are 752, 295, 654, 114

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 752, 295, 654, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 295, 654, 114 is 1.

Therefore, GCD of numbers 752, 295, 654, 114 is 1

Given Input Data is 752, 295, 654, 114

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 295 is 5 x 59

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 114 is 2 x 3 x 19

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(752, 295) = 221840

GCD(752, 295) = ( 752 x 295 ) / 221840

GCD(752, 295) = 221840 / 221840

GCD(752, 295) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 752, 295, 654, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 101, 693, 458
• GCD of 206, 683, 763, 482
• GCD of 225, 869, 756, 479
• GCD of 693, 291, 854, 654
• GCD of 196, 873, 936, 324

1. What is the GCD of 752, 295, 654, 114?

GCD of 752, 295, 654, 114 is 1

2. Where do I get the detailed procedure to find GCD of 752, 295, 654, 114?

You can find a detailed procedure to find GCD of 752, 295, 654, 114 on our page.

3. How to find GCD of 752, 295, 654, 114 on a calculator?

You can find the GCD of 752, 295, 654, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.