GCD of 652, 748, 85, 355 Calculator

Given Input numbers are 652, 748, 85, 355

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

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 652, 748, 85, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 652, 748, 85, 355 is 1.

Therefore, GCD of numbers 652, 748, 85, 355 is 1

Given Input Data is 652, 748, 85, 355

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

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 85 is 5 x 17

Prime Factorization of 355 is 5 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(652, 748) = 121924

GCD(652, 748) = ( 652 x 748 ) / 121924

GCD(652, 748) = 487696 / 121924

GCD(652, 748) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 85

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

LCM(4, 85) = 340

GCD(4, 85) = ( 4 x 85 ) / 340

GCD(4, 85) = 340 / 340

GCD(4, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 652, 748, 85, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 241, 26, 597
• GCD of 294, 306, 46, 520
• GCD of 935, 975, 67, 346
• GCD of 996, 210, 10, 320
• GCD of 148, 532, 54, 681

1. What is the GCD of 652, 748, 85, 355?

GCD of 652, 748, 85, 355 is 1

2. Where do I get the detailed procedure to find GCD of 652, 748, 85, 355?

You can find a detailed procedure to find GCD of 652, 748, 85, 355 on our page.

3. How to find GCD of 652, 748, 85, 355 on a calculator?

You can find the GCD of 652, 748, 85, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.