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GCD of 533, 749, 314, 702 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, 749, 314, 702 quickly. Get the easiest ways to solve the greatest common divisor of 533, 749, 314, 702 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 533, 749, 314, 702 with Factoring?

Given Input numbers are 533, 749, 314, 702

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 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702


GCD of numbers is the greatest common divisor

So, the GCD (533, 749, 314, 702) = 1.

Find GCD of 533, 749, 314, 702 using Prime Factorization

Given numbers are 533, 749, 314, 702

The list of prime factors of all numbers are

Prime factors of 533 are 13 x 41

Prime factors of 749 are 7 x 107

Prime factors of 314 are 2 x 157

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

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

Steps to Calculate GCD of 533, 749, 314, 702 using LCM Formula

Given numbers are 533, 749, 314, 702

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

Apply this formula for all numbers.

Step1:

LCM(533, 749) = 399217

GCD(533, 749) = ( 533 x 749 ) / 399217

= 533 / 749

= 533


Step2:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1


Step3:

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

= 1 / 702

= 1


So, Greatest Common Divisor of 533, 749, 314, 702 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 533, 749, 314, 702

Given numbers are 533, 749, 314, 702
The greatest common divisor of numbers 533, 749, 314, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 533, 749, 314, 702 is 1.

FAQs on GCD of 533, 749, 314, 702 Calculator

1. What is the GCD of 533, 749, 314, 702?

GCD of given numbers 533, 749, 314, 702 is 1


2. How to calculate the greatest common divisor of 533, 749, 314, 702?

We can find the highest common divisor of 533, 749, 314, 702 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, 749, 314, 702 i.e 1.


3. How can I use the GCD of 533, 749, 314, 702Calculator?

Out the numbers 533, 749, 314, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.