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GCD of 738, 514, 352, 137 Calculator

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


Online GCD Calculator is useful to find the GCD of 738, 514, 352, 137 quickly. Get the easiest ways to solve the greatest common divisor of 738, 514, 352, 137 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 738, 514, 352, 137 with Factoring?

Given Input numbers are 738, 514, 352, 137

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137


GCD of numbers is the greatest common divisor

So, the GCD (738, 514, 352, 137) = 1.

Find GCD of 738, 514, 352, 137 using Prime Factorization

Given numbers are 738, 514, 352, 137

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 514 are 2 x 257

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 137 are 137

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

Steps to Calculate GCD of 738, 514, 352, 137 using LCM Formula

Given numbers are 738, 514, 352, 137

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

Apply this formula for all numbers.

Step1:

LCM(738, 514) = 189666

GCD(738, 514) = ( 738 x 514 ) / 189666

= 738 / 514

= 738


Step2:

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

= 2 / 352

= 2


Step3:

LCM(2, 137) = 274

GCD(2, 137) = ( 2 x 137 ) / 274

= 2 / 137

= 2


So, Greatest Common Divisor of 738, 514, 352, 137 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 738, 514, 352, 137

Given numbers are 738, 514, 352, 137
The greatest common divisor of numbers 738, 514, 352, 137 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 514, 352, 137 is 1.

FAQs on GCD of 738, 514, 352, 137 Calculator

1. What is the GCD of 738, 514, 352, 137?

GCD of given numbers 738, 514, 352, 137 is 1


2. How to calculate the greatest common divisor of 738, 514, 352, 137?

We can find the highest common divisor of 738, 514, 352, 137 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 738, 514, 352, 137 i.e 1.


3. How can I use the GCD of 738, 514, 352, 137Calculator?

Out the numbers 738, 514, 352, 137 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.