GCD of 724, 786, 534, 345 Calculator

Given Input numbers are 724, 786, 534, 345

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 786

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

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

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 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 724, 786, 534, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 786, 534, 345 is 1.

Therefore, GCD of numbers 724, 786, 534, 345 is 1

Given Input Data is 724, 786, 534, 345

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 345 is 3 x 5 x 23

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(724, 786) = 284532

GCD(724, 786) = ( 724 x 786 ) / 284532

GCD(724, 786) = 569064 / 284532

GCD(724, 786) = 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 345

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

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

GCD(2, 345) = 690 / 690

GCD(2, 345) = 1

GCD of 724, 786, 534, 345 is 1

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1. What is the GCD of 724, 786, 534, 345?

GCD of 724, 786, 534, 345 is 1

2. Where do I get the detailed procedure to find GCD of 724, 786, 534, 345?

You can find a detailed procedure to find GCD of 724, 786, 534, 345 on our page.

3. How to find GCD of 724, 786, 534, 345 on a calculator?

You can find the GCD of 724, 786, 534, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.