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GCD of 342, 450, 154, 853 Calculator

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


Online GCD Calculator is useful to find the GCD of 342, 450, 154, 853 quickly. Get the easiest ways to solve the greatest common divisor of 342, 450, 154, 853 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 342, 450, 154, 853 with Factoring?

Given Input numbers are 342, 450, 154, 853

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 853 :

The positive integer divisors of 853 that completely divides 853 are.

1, 853


GCD of numbers is the greatest common divisor

So, the GCD (342, 450, 154, 853) = 1.

Find GCD of 342, 450, 154, 853 using Prime Factorization

Given numbers are 342, 450, 154, 853

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 154 are 2 x 7 x 11

Prime factors of 853 are 853

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

Steps to Calculate GCD of 342, 450, 154, 853 using LCM Formula

Given numbers are 342, 450, 154, 853

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

Apply this formula for all numbers.

Step1:

LCM(342, 450) = 8550

GCD(342, 450) = ( 342 x 450 ) / 8550

= 342 / 450

= 342


Step2:

LCM(18, 154) = 1386

GCD(18, 154) = ( 18 x 154 ) / 1386

= 18 / 154

= 18


Step3:

LCM(2, 853) = 1706

GCD(2, 853) = ( 2 x 853 ) / 1706

= 2 / 853

= 2


So, Greatest Common Divisor of 342, 450, 154, 853 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 342, 450, 154, 853

Given numbers are 342, 450, 154, 853
The greatest common divisor of numbers 342, 450, 154, 853 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 450, 154, 853 is 1.

FAQs on GCD of 342, 450, 154, 853 Calculator

1. What is the GCD of 342, 450, 154, 853?

GCD of given numbers 342, 450, 154, 853 is 1


2. How to calculate the greatest common divisor of 342, 450, 154, 853?

We can find the highest common divisor of 342, 450, 154, 853 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 342, 450, 154, 853 i.e 1.


3. How can I use the GCD of 342, 450, 154, 853Calculator?

Out the numbers 342, 450, 154, 853 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.