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GCD of 345, 628, 501, 355 Calculator

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


Online GCD Calculator is useful to find the GCD of 345, 628, 501, 355 quickly. Get the easiest ways to solve the greatest common divisor of 345, 628, 501, 355 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 345, 628, 501, 355 with Factoring?

Given Input numbers are 345, 628, 501, 355

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

Divisors of 345 :

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

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355


GCD of numbers is the greatest common divisor

So, the GCD (345, 628, 501, 355) = 1.

Find GCD of 345, 628, 501, 355 using Prime Factorization

Given numbers are 345, 628, 501, 355

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 628 are 2 x 2 x 157

Prime factors of 501 are 3 x 167

Prime factors of 355 are 5 x 71

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

Steps to Calculate GCD of 345, 628, 501, 355 using LCM Formula

Given numbers are 345, 628, 501, 355

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

Apply this formula for all numbers.

Step1:

LCM(345, 628) = 216660

GCD(345, 628) = ( 345 x 628 ) / 216660

= 345 / 628

= 345


Step2:

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

= 1 / 501

= 1


Step3:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1


So, Greatest Common Divisor of 345, 628, 501, 355 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 345, 628, 501, 355

Given numbers are 345, 628, 501, 355
The greatest common divisor of numbers 345, 628, 501, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 628, 501, 355 is 1.

FAQs on GCD of 345, 628, 501, 355 Calculator

1. What is the GCD of 345, 628, 501, 355?

GCD of given numbers 345, 628, 501, 355 is 1


2. How to calculate the greatest common divisor of 345, 628, 501, 355?

We can find the highest common divisor of 345, 628, 501, 355 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 345, 628, 501, 355 i.e 1.


3. How can I use the GCD of 345, 628, 501, 355Calculator?

Out the numbers 345, 628, 501, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.