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GCD of 217, 142, 158, 345 Calculator

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


Online GCD Calculator is useful to find the GCD of 217, 142, 158, 345 quickly. Get the easiest ways to solve the greatest common divisor of 217, 142, 158, 345 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 217, 142, 158, 345 with Factoring?

Given Input numbers are 217, 142, 158, 345

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 158 :

The positive integer divisors of 158 that completely divides 158 are.

1, 2, 79, 158

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345


GCD of numbers is the greatest common divisor

So, the GCD (217, 142, 158, 345) = 1.

Find GCD of 217, 142, 158, 345 using Prime Factorization

Given numbers are 217, 142, 158, 345

The list of prime factors of all numbers are

Prime factors of 217 are 7 x 31

Prime factors of 142 are 2 x 71

Prime factors of 158 are 2 x 79

Prime factors of 345 are 3 x 5 x 23

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

Steps to Calculate GCD of 217, 142, 158, 345 using LCM Formula

Given numbers are 217, 142, 158, 345

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

Apply this formula for all numbers.

Step1:

LCM(217, 142) = 30814

GCD(217, 142) = ( 217 x 142 ) / 30814

= 217 / 142

= 217


Step2:

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

= 1 / 158

= 1


Step3:

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

= 1 / 345

= 1


So, Greatest Common Divisor of 217, 142, 158, 345 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 217, 142, 158, 345

Given numbers are 217, 142, 158, 345
The greatest common divisor of numbers 217, 142, 158, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 142, 158, 345 is 1.

FAQs on GCD of 217, 142, 158, 345 Calculator

1. What is the GCD of 217, 142, 158, 345?

GCD of given numbers 217, 142, 158, 345 is 1


2. How to calculate the greatest common divisor of 217, 142, 158, 345?

We can find the highest common divisor of 217, 142, 158, 345 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 217, 142, 158, 345 i.e 1.


3. How can I use the GCD of 217, 142, 158, 345Calculator?

Out the numbers 217, 142, 158, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.