GCD of 553, 541, 988, 762 Calculator

Given Input numbers are 553, 541, 988, 762

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 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 553, 541, 988, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 541, 988, 762 is 1.

Therefore, GCD of numbers 553, 541, 988, 762 is 1

Given Input Data is 553, 541, 988, 762

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 541 is 541

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 762 is 2 x 3 x 127

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, 541) = 299173

GCD(553, 541) = ( 553 x 541 ) / 299173

GCD(553, 541) = 299173 / 299173

GCD(553, 541) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 553, 541, 988, 762 is 1

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1. What is the GCD of 553, 541, 988, 762?

GCD of 553, 541, 988, 762 is 1

2. Where do I get the detailed procedure to find GCD of 553, 541, 988, 762?

You can find a detailed procedure to find GCD of 553, 541, 988, 762 on our page.

3. How to find GCD of 553, 541, 988, 762 on a calculator?

You can find the GCD of 553, 541, 988, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.