GCD of 705, 749, 54, 821 Calculator

Given Input numbers are 705, 749, 54, 821

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 705, 749, 54, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 749, 54, 821 is 1.

Therefore, GCD of numbers 705, 749, 54, 821 is 1

Given Input Data is 705, 749, 54, 821

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 749 is 7 x 107

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 821 is 821

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(705, 749) = 528045

GCD(705, 749) = ( 705 x 749 ) / 528045

GCD(705, 749) = 528045 / 528045

GCD(705, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 705, 749, 54, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 155, 67, 659
• GCD of 534, 472, 12, 493
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• GCD of 477, 250, 94, 993
• GCD of 756, 103, 81, 900

1. What is the GCD of 705, 749, 54, 821?

GCD of 705, 749, 54, 821 is 1

2. Where do I get the detailed procedure to find GCD of 705, 749, 54, 821?

You can find a detailed procedure to find GCD of 705, 749, 54, 821 on our page.

3. How to find GCD of 705, 749, 54, 821 on a calculator?

You can find the GCD of 705, 749, 54, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.