GCD of 553, 958, 735, 868 Calculator

Given Input numbers are 553, 958, 735, 868

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 553, 958, 735, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 958, 735, 868 is 1.

Therefore, GCD of numbers 553, 958, 735, 868 is 1

Given Input Data is 553, 958, 735, 868

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 958 is 2 x 479

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 868 is 2 x 2 x 7 x 31

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(553, 958) = 529774

GCD(553, 958) = ( 553 x 958 ) / 529774

GCD(553, 958) = 529774 / 529774

GCD(553, 958) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

GCD of 553, 958, 735, 868 is 1

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1. What is the GCD of 553, 958, 735, 868?

GCD of 553, 958, 735, 868 is 1

2. Where do I get the detailed procedure to find GCD of 553, 958, 735, 868?

You can find a detailed procedure to find GCD of 553, 958, 735, 868 on our page.

3. How to find GCD of 553, 958, 735, 868 on a calculator?

You can find the GCD of 553, 958, 735, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.