GCD of 752, 788, 38, 265 Calculator

Given Input numbers are 752, 788, 38, 265

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 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 752, 788, 38, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 788, 38, 265 is 1.

Therefore, GCD of numbers 752, 788, 38, 265 is 1

Given Input Data is 752, 788, 38, 265

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 788 is 2 x 2 x 197

Prime Factorization of 38 is 2 x 19

Prime Factorization of 265 is 5 x 53

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, 788) = 148144

GCD(752, 788) = ( 752 x 788 ) / 148144

GCD(752, 788) = 592576 / 148144

GCD(752, 788) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 38

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

LCM(4, 38) = 76

GCD(4, 38) = ( 4 x 38 ) / 76

GCD(4, 38) = 152 / 76

GCD(4, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 265

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

LCM(2, 265) = 530

GCD(2, 265) = ( 2 x 265 ) / 530

GCD(2, 265) = 530 / 530

GCD(2, 265) = 1

GCD of 752, 788, 38, 265 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 894, 75, 198
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• GCD of 129, 229, 67, 305
• GCD of 475, 436, 54, 216
• GCD of 971, 309, 44, 780

1. What is the GCD of 752, 788, 38, 265?

GCD of 752, 788, 38, 265 is 1

2. Where do I get the detailed procedure to find GCD of 752, 788, 38, 265?

You can find a detailed procedure to find GCD of 752, 788, 38, 265 on our page.

3. How to find GCD of 752, 788, 38, 265 on a calculator?

You can find the GCD of 752, 788, 38, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.