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GCD of 736, 169, 214, 477 Calculator

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


Online GCD Calculator is useful to find the GCD of 736, 169, 214, 477 quickly. Get the easiest ways to solve the greatest common divisor of 736, 169, 214, 477 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 736, 169, 214, 477 with Factoring?

Given Input numbers are 736, 169, 214, 477

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477


GCD of numbers is the greatest common divisor

So, the GCD (736, 169, 214, 477) = 1.

Find GCD of 736, 169, 214, 477 using Prime Factorization

Given numbers are 736, 169, 214, 477

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 169 are 13 x 13

Prime factors of 214 are 2 x 107

Prime factors of 477 are 3 x 3 x 53

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

Steps to Calculate GCD of 736, 169, 214, 477 using LCM Formula

Given numbers are 736, 169, 214, 477

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

Apply this formula for all numbers.

Step1:

LCM(736, 169) = 124384

GCD(736, 169) = ( 736 x 169 ) / 124384

= 736 / 169

= 736


Step2:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1


Step3:

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

= 1 / 477

= 1


So, Greatest Common Divisor of 736, 169, 214, 477 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 736, 169, 214, 477

Given numbers are 736, 169, 214, 477
The greatest common divisor of numbers 736, 169, 214, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 169, 214, 477 is 1.

FAQs on GCD of 736, 169, 214, 477 Calculator

1. What is the GCD of 736, 169, 214, 477?

GCD of given numbers 736, 169, 214, 477 is 1


2. How to calculate the greatest common divisor of 736, 169, 214, 477?

We can find the highest common divisor of 736, 169, 214, 477 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 736, 169, 214, 477 i.e 1.


3. How can I use the GCD of 736, 169, 214, 477Calculator?

Out the numbers 736, 169, 214, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.