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GCD of 701, 716, 898, 216 Calculator

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


Online GCD Calculator is useful to find the GCD of 701, 716, 898, 216 quickly. Get the easiest ways to solve the greatest common divisor of 701, 716, 898, 216 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 701, 716, 898, 216 with Factoring?

Given Input numbers are 701, 716, 898, 216

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

Divisors of 701 :

The positive integer divisors of 701 that completely divides 701 are.

1, 701

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

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


GCD of numbers is the greatest common divisor

So, the GCD (701, 716, 898, 216) = 1.

Find GCD of 701, 716, 898, 216 using Prime Factorization

Given numbers are 701, 716, 898, 216

The list of prime factors of all numbers are

Prime factors of 701 are 701

Prime factors of 716 are 2 x 2 x 179

Prime factors of 898 are 2 x 449

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

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

Steps to Calculate GCD of 701, 716, 898, 216 using LCM Formula

Given numbers are 701, 716, 898, 216

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

Apply this formula for all numbers.

Step1:

LCM(701, 716) = 501916

GCD(701, 716) = ( 701 x 716 ) / 501916

= 701 / 716

= 701


Step2:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1


Step3:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1


So, Greatest Common Divisor of 701, 716, 898, 216 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 701, 716, 898, 216

Given numbers are 701, 716, 898, 216
The greatest common divisor of numbers 701, 716, 898, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 701, 716, 898, 216 is 1.

FAQs on GCD of 701, 716, 898, 216 Calculator

1. What is the GCD of 701, 716, 898, 216?

GCD of given numbers 701, 716, 898, 216 is 1


2. How to calculate the greatest common divisor of 701, 716, 898, 216?

We can find the highest common divisor of 701, 716, 898, 216 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 701, 716, 898, 216 i.e 1.


3. How can I use the GCD of 701, 716, 898, 216Calculator?

Out the numbers 701, 716, 898, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.