GCD of 72, 698, 534, 765 Calculator

Given Input numbers are 72, 698, 534, 765

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

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 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 72, 698, 534, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 698, 534, 765 is 1.

Therefore, GCD of numbers 72, 698, 534, 765 is 1

Given Input Data is 72, 698, 534, 765

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

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 765 is 3 x 3 x 5 x 17

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(72, 698) = 25128

GCD(72, 698) = ( 72 x 698 ) / 25128

GCD(72, 698) = 50256 / 25128

GCD(72, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 534

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

LCM(2, 534) = 534

GCD(2, 534) = ( 2 x 534 ) / 534

GCD(2, 534) = 1068 / 534

GCD(2, 534) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 765

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

LCM(2, 765) = 1530

GCD(2, 765) = ( 2 x 765 ) / 1530

GCD(2, 765) = 1530 / 1530

GCD(2, 765) = 1

GCD of 72, 698, 534, 765 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 370, 666, 964
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• GCD of 71, 381, 133, 957
• GCD of 43, 279, 748, 799
• GCD of 44, 723, 158, 438

1. What is the GCD of 72, 698, 534, 765?

GCD of 72, 698, 534, 765 is 1

2. Where do I get the detailed procedure to find GCD of 72, 698, 534, 765?

You can find a detailed procedure to find GCD of 72, 698, 534, 765 on our page.

3. How to find GCD of 72, 698, 534, 765 on a calculator?

You can find the GCD of 72, 698, 534, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.