GCD of 553, 962, 420, 265 Calculator

Given Input numbers are 553, 962, 420, 265

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 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 553, 962, 420, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 962, 420, 265 is 1.

Therefore, GCD of numbers 553, 962, 420, 265 is 1

Given Input Data is 553, 962, 420, 265

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 265 is 5 x 53

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, 962) = 531986

GCD(553, 962) = ( 553 x 962 ) / 531986

GCD(553, 962) = 531986 / 531986

GCD(553, 962) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 265

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

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

GCD(1, 265) = 265 / 265

GCD(1, 265) = 1

GCD of 553, 962, 420, 265 is 1

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1. What is the GCD of 553, 962, 420, 265?

GCD of 553, 962, 420, 265 is 1

2. Where do I get the detailed procedure to find GCD of 553, 962, 420, 265?

You can find a detailed procedure to find GCD of 553, 962, 420, 265 on our page.

3. How to find GCD of 553, 962, 420, 265 on a calculator?

You can find the GCD of 553, 962, 420, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.