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GCD of 706, 364, 153 Calculator

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


Online GCD Calculator is useful to find the GCD of 706, 364, 153 quickly. Get the easiest ways to solve the greatest common divisor of 706, 364, 153 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 706, 364, 153 with Factoring?

Given Input numbers are 706, 364, 153

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

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153


GCD of numbers is the greatest common divisor

So, the GCD (706, 364, 153) = 1.

Find GCD of 706, 364, 153 using Prime Factorization

Given numbers are 706, 364, 153

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 153 are 3 x 3 x 17

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

Steps to Calculate GCD of 706, 364, 153 using LCM Formula

Given numbers are 706, 364, 153

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

Apply this formula for all numbers.

Step1:

LCM(706, 364) = 128492

GCD(706, 364) = ( 706 x 364 ) / 128492

= 706 / 364

= 706


Step2:

LCM(2, 153) = 306

GCD(2, 153) = ( 2 x 153 ) / 306

= 2 / 153

= 2


So, Greatest Common Divisor of 706, 364, 153 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 706, 364, 153

Given numbers are 706, 364, 153
The greatest common divisor of numbers 706, 364, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 364, 153 is 1.

FAQs on GCD of 706, 364, 153 Calculator

1. What is the GCD of 706, 364, 153?

GCD of given numbers 706, 364, 153 is 1


2. How to calculate the greatest common divisor of 706, 364, 153?

We can find the highest common divisor of 706, 364, 153 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 706, 364, 153 i.e 1.


3. How can I use the GCD of 706, 364, 153Calculator?

Out the numbers 706, 364, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.