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GCD of 438, 758, 857, 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 438, 758, 857, 345 quickly. Get the easiest ways to solve the greatest common divisor of 438, 758, 857, 345 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 438, 758, 857, 345 with Factoring?

Given Input numbers are 438, 758, 857, 345

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 857 :

The positive integer divisors of 857 that completely divides 857 are.

1, 857

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 (438, 758, 857, 345) = 1.

Find GCD of 438, 758, 857, 345 using Prime Factorization

Given numbers are 438, 758, 857, 345

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 758 are 2 x 379

Prime factors of 857 are 857

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 438, 758, 857, 345 using LCM Formula

Given numbers are 438, 758, 857, 345

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

Apply this formula for all numbers.

Step1:

LCM(438, 758) = 166002

GCD(438, 758) = ( 438 x 758 ) / 166002

= 438 / 758

= 438


Step2:

LCM(2, 857) = 1714

GCD(2, 857) = ( 2 x 857 ) / 1714

= 2 / 857

= 2


Step3:

LCM(1, 345) = 345

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

= 1 / 345

= 1


So, Greatest Common Divisor of 438, 758, 857, 345 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 438, 758, 857, 345

Given numbers are 438, 758, 857, 345
The greatest common divisor of numbers 438, 758, 857, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 758, 857, 345 is 1.

FAQs on GCD of 438, 758, 857, 345 Calculator

1. What is the GCD of 438, 758, 857, 345?

GCD of given numbers 438, 758, 857, 345 is 1


2. How to calculate the greatest common divisor of 438, 758, 857, 345?

We can find the highest common divisor of 438, 758, 857, 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 438, 758, 857, 345 i.e 1.


3. How can I use the GCD of 438, 758, 857, 345Calculator?

Out the numbers 438, 758, 857, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.