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GCD of 364, 473, 986, 949 Calculator

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


Online GCD Calculator is useful to find the GCD of 364, 473, 986, 949 quickly. Get the easiest ways to solve the greatest common divisor of 364, 473, 986, 949 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 364, 473, 986, 949 with Factoring?

Given Input numbers are 364, 473, 986, 949

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 473 :

The positive integer divisors of 473 that completely divides 473 are.

1, 11, 43, 473

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949


GCD of numbers is the greatest common divisor

So, the GCD (364, 473, 986, 949) = 1.

Find GCD of 364, 473, 986, 949 using Prime Factorization

Given numbers are 364, 473, 986, 949

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 473 are 11 x 43

Prime factors of 986 are 2 x 17 x 29

Prime factors of 949 are 13 x 73

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

Steps to Calculate GCD of 364, 473, 986, 949 using LCM Formula

Given numbers are 364, 473, 986, 949

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

Apply this formula for all numbers.

Step1:

LCM(364, 473) = 172172

GCD(364, 473) = ( 364 x 473 ) / 172172

= 364 / 473

= 364


Step2:

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

= 1 / 986

= 1


Step3:

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

= 1 / 949

= 1


So, Greatest Common Divisor of 364, 473, 986, 949 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 364, 473, 986, 949

Given numbers are 364, 473, 986, 949
The greatest common divisor of numbers 364, 473, 986, 949 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 473, 986, 949 is 1.

FAQs on GCD of 364, 473, 986, 949 Calculator

1. What is the GCD of 364, 473, 986, 949?

GCD of given numbers 364, 473, 986, 949 is 1


2. How to calculate the greatest common divisor of 364, 473, 986, 949?

We can find the highest common divisor of 364, 473, 986, 949 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 364, 473, 986, 949 i.e 1.


3. How can I use the GCD of 364, 473, 986, 949Calculator?

Out the numbers 364, 473, 986, 949 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.