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GCD of 714, 572, 229, 356 Calculator

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


Online GCD Calculator is useful to find the GCD of 714, 572, 229, 356 quickly. Get the easiest ways to solve the greatest common divisor of 714, 572, 229, 356 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 714, 572, 229, 356 with Factoring?

Given Input numbers are 714, 572, 229, 356

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356


GCD of numbers is the greatest common divisor

So, the GCD (714, 572, 229, 356) = 1.

Find GCD of 714, 572, 229, 356 using Prime Factorization

Given numbers are 714, 572, 229, 356

The list of prime factors of all numbers are

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 229 are 229

Prime factors of 356 are 2 x 2 x 89

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

Steps to Calculate GCD of 714, 572, 229, 356 using LCM Formula

Given numbers are 714, 572, 229, 356

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

Apply this formula for all numbers.

Step1:

LCM(714, 572) = 204204

GCD(714, 572) = ( 714 x 572 ) / 204204

= 714 / 572

= 714


Step2:

LCM(2, 229) = 458

GCD(2, 229) = ( 2 x 229 ) / 458

= 2 / 229

= 2


Step3:

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

= 1 / 356

= 1


So, Greatest Common Divisor of 714, 572, 229, 356 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 714, 572, 229, 356

Given numbers are 714, 572, 229, 356
The greatest common divisor of numbers 714, 572, 229, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 572, 229, 356 is 1.

FAQs on GCD of 714, 572, 229, 356 Calculator

1. What is the GCD of 714, 572, 229, 356?

GCD of given numbers 714, 572, 229, 356 is 1


2. How to calculate the greatest common divisor of 714, 572, 229, 356?

We can find the highest common divisor of 714, 572, 229, 356 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 714, 572, 229, 356 i.e 1.


3. How can I use the GCD of 714, 572, 229, 356Calculator?

Out the numbers 714, 572, 229, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.