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GCD of 188, 749, 523, 147 Calculator

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


Online GCD Calculator is useful to find the GCD of 188, 749, 523, 147 quickly. Get the easiest ways to solve the greatest common divisor of 188, 749, 523, 147 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 188, 749, 523, 147 with Factoring?

Given Input numbers are 188, 749, 523, 147

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

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147


GCD of numbers is the greatest common divisor

So, the GCD (188, 749, 523, 147) = 1.

Find GCD of 188, 749, 523, 147 using Prime Factorization

Given numbers are 188, 749, 523, 147

The list of prime factors of all numbers are

Prime factors of 188 are 2 x 2 x 47

Prime factors of 749 are 7 x 107

Prime factors of 523 are 523

Prime factors of 147 are 3 x 7 x 7

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

Steps to Calculate GCD of 188, 749, 523, 147 using LCM Formula

Given numbers are 188, 749, 523, 147

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

Apply this formula for all numbers.

Step1:

LCM(188, 749) = 140812

GCD(188, 749) = ( 188 x 749 ) / 140812

= 188 / 749

= 188


Step2:

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

= 1 / 523

= 1


Step3:

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

= 1 / 147

= 1


So, Greatest Common Divisor of 188, 749, 523, 147 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 188, 749, 523, 147

Given numbers are 188, 749, 523, 147
The greatest common divisor of numbers 188, 749, 523, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 188, 749, 523, 147 is 1.

FAQs on GCD of 188, 749, 523, 147 Calculator

1. What is the GCD of 188, 749, 523, 147?

GCD of given numbers 188, 749, 523, 147 is 1


2. How to calculate the greatest common divisor of 188, 749, 523, 147?

We can find the highest common divisor of 188, 749, 523, 147 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 188, 749, 523, 147 i.e 1.


3. How can I use the GCD of 188, 749, 523, 147Calculator?

Out the numbers 188, 749, 523, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.