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GCD of 986, 133, 821, 947 Calculator

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


Online GCD Calculator is useful to find the GCD of 986, 133, 821, 947 quickly. Get the easiest ways to solve the greatest common divisor of 986, 133, 821, 947 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 986, 133, 821, 947 with Factoring?

Given Input numbers are 986, 133, 821, 947

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

Divisors of 986 :

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

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

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 947 :

The positive integer divisors of 947 that completely divides 947 are.

1, 947


GCD of numbers is the greatest common divisor

So, the GCD (986, 133, 821, 947) = 1.

Find GCD of 986, 133, 821, 947 using Prime Factorization

Given numbers are 986, 133, 821, 947

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 133 are 7 x 19

Prime factors of 821 are 821

Prime factors of 947 are 947

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

Steps to Calculate GCD of 986, 133, 821, 947 using LCM Formula

Given numbers are 986, 133, 821, 947

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

Apply this formula for all numbers.

Step1:

LCM(986, 133) = 131138

GCD(986, 133) = ( 986 x 133 ) / 131138

= 986 / 133

= 986


Step2:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1


Step3:

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

= 1 / 947

= 1


So, Greatest Common Divisor of 986, 133, 821, 947 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 986, 133, 821, 947

Given numbers are 986, 133, 821, 947
The greatest common divisor of numbers 986, 133, 821, 947 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 133, 821, 947 is 1.

FAQs on GCD of 986, 133, 821, 947 Calculator

1. What is the GCD of 986, 133, 821, 947?

GCD of given numbers 986, 133, 821, 947 is 1


2. How to calculate the greatest common divisor of 986, 133, 821, 947?

We can find the highest common divisor of 986, 133, 821, 947 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 986, 133, 821, 947 i.e 1.


3. How can I use the GCD of 986, 133, 821, 947Calculator?

Out the numbers 986, 133, 821, 947 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.