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GCD of 533, 628, 663, 748 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 533, 628, 663, 748 quickly. Get the easiest ways to solve the greatest common divisor of 533, 628, 663, 748 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 533, 628, 663, 748 with Factoring?

Given Input numbers are 533, 628, 663, 748

In the factoring method, we have to find the divisors of all numbers

Divisors of 533 :

The positive integer divisors of 533 that completely divides 533 are.

1, 13, 41, 533

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

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


GCD of numbers is the greatest common divisor

So, the GCD (533, 628, 663, 748) = 1.

Find GCD of 533, 628, 663, 748 using Prime Factorization

Given numbers are 533, 628, 663, 748

The list of prime factors of all numbers are

Prime factors of 533 are 13 x 41

Prime factors of 628 are 2 x 2 x 157

Prime factors of 663 are 3 x 13 x 17

Prime factors of 748 are 2 x 2 x 11 x 17

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 533, 628, 663, 748 using LCM Formula

Given numbers are 533, 628, 663, 748

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(533, 628) = 334724

GCD(533, 628) = ( 533 x 628 ) / 334724

= 533 / 628

= 533


Step2:

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

= 1 / 663

= 1


Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1


So, Greatest Common Divisor of 533, 628, 663, 748 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 533, 628, 663, 748

Given numbers are 533, 628, 663, 748
The greatest common divisor of numbers 533, 628, 663, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 533, 628, 663, 748 is 1.

FAQs on GCD of 533, 628, 663, 748 Calculator

1. What is the GCD of 533, 628, 663, 748?

GCD of given numbers 533, 628, 663, 748 is 1


2. How to calculate the greatest common divisor of 533, 628, 663, 748?

We can find the highest common divisor of 533, 628, 663, 748 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 533, 628, 663, 748 i.e 1.


3. How can I use the GCD of 533, 628, 663, 748Calculator?

Out the numbers 533, 628, 663, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.