GCD of 754, 252, 72, 786 Calculator

Given Input numbers are 754, 252, 72, 786

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 754, 252, 72, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 252, 72, 786 is 2.

Therefore, GCD of numbers 754, 252, 72, 786 is 2

Given Input Data is 754, 252, 72, 786

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 786 is 2 x 3 x 131

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(754, 252) = 95004

GCD(754, 252) = ( 754 x 252 ) / 95004

GCD(754, 252) = 190008 / 95004

GCD(754, 252) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 786

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

LCM(2, 786) = 786

GCD(2, 786) = ( 2 x 786 ) / 786

GCD(2, 786) = 1572 / 786

GCD(2, 786) = 2

GCD of 754, 252, 72, 786 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 127, 900, 59, 818
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• GCD of 800, 631, 36, 275
• GCD of 132, 314, 65, 766
• GCD of 856, 956, 30, 880

1. What is the GCD of 754, 252, 72, 786?

GCD of 754, 252, 72, 786 is 2

2. Where do I get the detailed procedure to find GCD of 754, 252, 72, 786?

You can find a detailed procedure to find GCD of 754, 252, 72, 786 on our page.

3. How to find GCD of 754, 252, 72, 786 on a calculator?

You can find the GCD of 754, 252, 72, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.