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GCD of 820, 714, 141, 164 Calculator

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


Online GCD Calculator is useful to find the GCD of 820, 714, 141, 164 quickly. Get the easiest ways to solve the greatest common divisor of 820, 714, 141, 164 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 714, 141, 164 with Factoring?

Given Input numbers are 820, 714, 141, 164

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164


GCD of numbers is the greatest common divisor

So, the GCD (820, 714, 141, 164) = 1.

Find GCD of 820, 714, 141, 164 using Prime Factorization

Given numbers are 820, 714, 141, 164

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 141 are 3 x 47

Prime factors of 164 are 2 x 2 x 41

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

Steps to Calculate GCD of 820, 714, 141, 164 using LCM Formula

Given numbers are 820, 714, 141, 164

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

Apply this formula for all numbers.

Step1:

LCM(820, 714) = 292740

GCD(820, 714) = ( 820 x 714 ) / 292740

= 820 / 714

= 820


Step2:

LCM(2, 141) = 282

GCD(2, 141) = ( 2 x 141 ) / 282

= 2 / 141

= 2


Step3:

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

= 1 / 164

= 1


So, Greatest Common Divisor of 820, 714, 141, 164 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 714, 141, 164

Given numbers are 820, 714, 141, 164
The greatest common divisor of numbers 820, 714, 141, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 714, 141, 164 is 1.

FAQs on GCD of 820, 714, 141, 164 Calculator

1. What is the GCD of 820, 714, 141, 164?

GCD of given numbers 820, 714, 141, 164 is 1


2. How to calculate the greatest common divisor of 820, 714, 141, 164?

We can find the highest common divisor of 820, 714, 141, 164 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 820, 714, 141, 164 i.e 1.


3. How can I use the GCD of 820, 714, 141, 164Calculator?

Out the numbers 820, 714, 141, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.