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GCD of 742, 367, 898, 163 Calculator

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


Online GCD Calculator is useful to find the GCD of 742, 367, 898, 163 quickly. Get the easiest ways to solve the greatest common divisor of 742, 367, 898, 163 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 742, 367, 898, 163 with Factoring?

Given Input numbers are 742, 367, 898, 163

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

Divisors of 898 :

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

1, 2, 449, 898

Divisors of 163 :

The positive integer divisors of 163 that completely divides 163 are.

1, 163


GCD of numbers is the greatest common divisor

So, the GCD (742, 367, 898, 163) = 1.

Find GCD of 742, 367, 898, 163 using Prime Factorization

Given numbers are 742, 367, 898, 163

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 367 are 367

Prime factors of 898 are 2 x 449

Prime factors of 163 are 163

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

Steps to Calculate GCD of 742, 367, 898, 163 using LCM Formula

Given numbers are 742, 367, 898, 163

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

Apply this formula for all numbers.

Step1:

LCM(742, 367) = 272314

GCD(742, 367) = ( 742 x 367 ) / 272314

= 742 / 367

= 742


Step2:

LCM(1, 898) = 898

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

= 1 / 898

= 1


Step3:

LCM(1, 163) = 163

GCD(1, 163) = ( 1 x 163 ) / 163

= 1 / 163

= 1


So, Greatest Common Divisor of 742, 367, 898, 163 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 742, 367, 898, 163

Given numbers are 742, 367, 898, 163
The greatest common divisor of numbers 742, 367, 898, 163 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 367, 898, 163 is 1.

FAQs on GCD of 742, 367, 898, 163 Calculator

1. What is the GCD of 742, 367, 898, 163?

GCD of given numbers 742, 367, 898, 163 is 1


2. How to calculate the greatest common divisor of 742, 367, 898, 163?

We can find the highest common divisor of 742, 367, 898, 163 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 742, 367, 898, 163 i.e 1.


3. How can I use the GCD of 742, 367, 898, 163Calculator?

Out the numbers 742, 367, 898, 163 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.