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GCD of 142, 829, 213, 990 Calculator

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


Online GCD Calculator is useful to find the GCD of 142, 829, 213, 990 quickly. Get the easiest ways to solve the greatest common divisor of 142, 829, 213, 990 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 142, 829, 213, 990 with Factoring?

Given Input numbers are 142, 829, 213, 990

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

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990


GCD of numbers is the greatest common divisor

So, the GCD (142, 829, 213, 990) = 1.

Find GCD of 142, 829, 213, 990 using Prime Factorization

Given numbers are 142, 829, 213, 990

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 829 are 829

Prime factors of 213 are 3 x 71

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Steps to Calculate GCD of 142, 829, 213, 990 using LCM Formula

Given numbers are 142, 829, 213, 990

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

Apply this formula for all numbers.

Step1:

LCM(142, 829) = 117718

GCD(142, 829) = ( 142 x 829 ) / 117718

= 142 / 829

= 142


Step2:

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

= 1 / 213

= 1


Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1


So, Greatest Common Divisor of 142, 829, 213, 990 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 142, 829, 213, 990

Given numbers are 142, 829, 213, 990
The greatest common divisor of numbers 142, 829, 213, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 829, 213, 990 is 1.

FAQs on GCD of 142, 829, 213, 990 Calculator

1. What is the GCD of 142, 829, 213, 990?

GCD of given numbers 142, 829, 213, 990 is 1


2. How to calculate the greatest common divisor of 142, 829, 213, 990?

We can find the highest common divisor of 142, 829, 213, 990 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 142, 829, 213, 990 i.e 1.


3. How can I use the GCD of 142, 829, 213, 990Calculator?

Out the numbers 142, 829, 213, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.