GCD of 705, 178, 653, 920 Calculator

Given Input numbers are 705, 178, 653, 920

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 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 705, 178, 653, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 178, 653, 920 is 1.

Therefore, GCD of numbers 705, 178, 653, 920 is 1

Given Input Data is 705, 178, 653, 920

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 178 is 2 x 89

Prime Factorization of 653 is 653

Prime Factorization of 920 is 2 x 2 x 2 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(705, 178) = 125490

GCD(705, 178) = ( 705 x 178 ) / 125490

GCD(705, 178) = 125490 / 125490

GCD(705, 178) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 705, 178, 653, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 336, 182, 330
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• GCD of 430, 753, 220, 596

1. What is the GCD of 705, 178, 653, 920?

GCD of 705, 178, 653, 920 is 1

2. Where do I get the detailed procedure to find GCD of 705, 178, 653, 920?

You can find a detailed procedure to find GCD of 705, 178, 653, 920 on our page.

3. How to find GCD of 705, 178, 653, 920 on a calculator?

You can find the GCD of 705, 178, 653, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.