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GCD of 711, 498, 216, 745 Calculator

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


Online GCD Calculator is useful to find the GCD of 711, 498, 216, 745 quickly. Get the easiest ways to solve the greatest common divisor of 711, 498, 216, 745 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 711, 498, 216, 745 with Factoring?

Given Input numbers are 711, 498, 216, 745

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

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745


GCD of numbers is the greatest common divisor

So, the GCD (711, 498, 216, 745) = 1.

Find GCD of 711, 498, 216, 745 using Prime Factorization

Given numbers are 711, 498, 216, 745

The list of prime factors of all numbers are

Prime factors of 711 are 3 x 3 x 79

Prime factors of 498 are 2 x 3 x 83

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 745 are 5 x 149

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

Steps to Calculate GCD of 711, 498, 216, 745 using LCM Formula

Given numbers are 711, 498, 216, 745

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

Apply this formula for all numbers.

Step1:

LCM(711, 498) = 118026

GCD(711, 498) = ( 711 x 498 ) / 118026

= 711 / 498

= 711


Step2:

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

= 3 / 216

= 3


Step3:

LCM(3, 745) = 2235

GCD(3, 745) = ( 3 x 745 ) / 2235

= 3 / 745

= 3


So, Greatest Common Divisor of 711, 498, 216, 745 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 711, 498, 216, 745

Given numbers are 711, 498, 216, 745
The greatest common divisor of numbers 711, 498, 216, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 711, 498, 216, 745 is 1.

FAQs on GCD of 711, 498, 216, 745 Calculator

1. What is the GCD of 711, 498, 216, 745?

GCD of given numbers 711, 498, 216, 745 is 1


2. How to calculate the greatest common divisor of 711, 498, 216, 745?

We can find the highest common divisor of 711, 498, 216, 745 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 711, 498, 216, 745 i.e 1.


3. How can I use the GCD of 711, 498, 216, 745Calculator?

Out the numbers 711, 498, 216, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.