GCD of 705, 653, 892, 852 Calculator

Given Input numbers are 705, 653, 892, 852

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 653

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

1, 653

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 705, 653, 892, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 653, 892, 852 is 1.

Therefore, GCD of numbers 705, 653, 892, 852 is 1

Given Input Data is 705, 653, 892, 852

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 653 is 653

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 852 is 2 x 2 x 3 x 71

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, 653) = 460365

GCD(705, 653) = ( 705 x 653 ) / 460365

GCD(705, 653) = 460365 / 460365

GCD(705, 653) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 705, 653, 892, 852 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 572, 674, 908
• GCD of 946, 150, 497, 859
• GCD of 214, 585, 784, 739
• GCD of 182, 669, 475, 476
• GCD of 763, 807, 412, 861

1. What is the GCD of 705, 653, 892, 852?

GCD of 705, 653, 892, 852 is 1

2. Where do I get the detailed procedure to find GCD of 705, 653, 892, 852?

You can find a detailed procedure to find GCD of 705, 653, 892, 852 on our page.

3. How to find GCD of 705, 653, 892, 852 on a calculator?

You can find the GCD of 705, 653, 892, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.