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GCD of 376, 349, 73, 538 Calculator

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


Online GCD Calculator is useful to find the GCD of 376, 349, 73, 538 quickly. Get the easiest ways to solve the greatest common divisor of 376, 349, 73, 538 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 376, 349, 73, 538 with Factoring?

Given Input numbers are 376, 349, 73, 538

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

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 73 :

The positive integer divisors of 73 that completely divides 73 are.

1, 73

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538


GCD of numbers is the greatest common divisor

So, the GCD (376, 349, 73, 538) = 1.

Find GCD of 376, 349, 73, 538 using Prime Factorization

Given numbers are 376, 349, 73, 538

The list of prime factors of all numbers are

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 349 are 349

Prime factors of 73 are 73

Prime factors of 538 are 2 x 269

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

Steps to Calculate GCD of 376, 349, 73, 538 using LCM Formula

Given numbers are 376, 349, 73, 538

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

Apply this formula for all numbers.

Step1:

LCM(376, 349) = 131224

GCD(376, 349) = ( 376 x 349 ) / 131224

= 376 / 349

= 376


Step2:

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

= 1 / 73

= 1


Step3:

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

= 1 / 538

= 1


So, Greatest Common Divisor of 376, 349, 73, 538 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 376, 349, 73, 538

Given numbers are 376, 349, 73, 538
The greatest common divisor of numbers 376, 349, 73, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 376, 349, 73, 538 is 1.

FAQs on GCD of 376, 349, 73, 538 Calculator

1. What is the GCD of 376, 349, 73, 538?

GCD of given numbers 376, 349, 73, 538 is 1


2. How to calculate the greatest common divisor of 376, 349, 73, 538?

We can find the highest common divisor of 376, 349, 73, 538 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 376, 349, 73, 538 i.e 1.


3. How can I use the GCD of 376, 349, 73, 538Calculator?

Out the numbers 376, 349, 73, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.