GCD of 742, 875, 65, 552 Calculator

Given Input numbers are 742, 875, 65, 552

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 742, 875, 65, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 875, 65, 552 is 1.

Therefore, GCD of numbers 742, 875, 65, 552 is 1

Given Input Data is 742, 875, 65, 552

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 65 is 5 x 13

Prime Factorization of 552 is 2 x 2 x 2 x 3 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(742, 875) = 92750

GCD(742, 875) = ( 742 x 875 ) / 92750

GCD(742, 875) = 649250 / 92750

GCD(742, 875) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 65

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

LCM(7, 65) = 455

GCD(7, 65) = ( 7 x 65 ) / 455

GCD(7, 65) = 455 / 455

GCD(7, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 552

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

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

GCD(1, 552) = 552 / 552

GCD(1, 552) = 1

GCD of 742, 875, 65, 552 is 1

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1. What is the GCD of 742, 875, 65, 552?

GCD of 742, 875, 65, 552 is 1

2. Where do I get the detailed procedure to find GCD of 742, 875, 65, 552?

You can find a detailed procedure to find GCD of 742, 875, 65, 552 on our page.

3. How to find GCD of 742, 875, 65, 552 on a calculator?

You can find the GCD of 742, 875, 65, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.