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GCD of 396, 700, 289, 645 Calculator

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


Online GCD Calculator is useful to find the GCD of 396, 700, 289, 645 quickly. Get the easiest ways to solve the greatest common divisor of 396, 700, 289, 645 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 396, 700, 289, 645 with Factoring?

Given Input numbers are 396, 700, 289, 645

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645


GCD of numbers is the greatest common divisor

So, the GCD (396, 700, 289, 645) = 1.

Find GCD of 396, 700, 289, 645 using Prime Factorization

Given numbers are 396, 700, 289, 645

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 289 are 17 x 17

Prime factors of 645 are 3 x 5 x 43

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

Steps to Calculate GCD of 396, 700, 289, 645 using LCM Formula

Given numbers are 396, 700, 289, 645

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

Apply this formula for all numbers.

Step1:

LCM(396, 700) = 69300

GCD(396, 700) = ( 396 x 700 ) / 69300

= 396 / 700

= 396


Step2:

LCM(4, 289) = 1156

GCD(4, 289) = ( 4 x 289 ) / 1156

= 4 / 289

= 4


Step3:

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

= 1 / 645

= 1


So, Greatest Common Divisor of 396, 700, 289, 645 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 396, 700, 289, 645

Given numbers are 396, 700, 289, 645
The greatest common divisor of numbers 396, 700, 289, 645 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 700, 289, 645 is 1.

FAQs on GCD of 396, 700, 289, 645 Calculator

1. What is the GCD of 396, 700, 289, 645?

GCD of given numbers 396, 700, 289, 645 is 1


2. How to calculate the greatest common divisor of 396, 700, 289, 645?

We can find the highest common divisor of 396, 700, 289, 645 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 396, 700, 289, 645 i.e 1.


3. How can I use the GCD of 396, 700, 289, 645Calculator?

Out the numbers 396, 700, 289, 645 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.