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GCD of 820, 658, 200, 347 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, 658, 200, 347 quickly. Get the easiest ways to solve the greatest common divisor of 820, 658, 200, 347 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 658, 200, 347 with Factoring?

Given Input numbers are 820, 658, 200, 347

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 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 347 :

The positive integer divisors of 347 that completely divides 347 are.

1, 347


GCD of numbers is the greatest common divisor

So, the GCD (820, 658, 200, 347) = 1.

Find GCD of 820, 658, 200, 347 using Prime Factorization

Given numbers are 820, 658, 200, 347

The list of prime factors of all numbers are

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

Prime factors of 658 are 2 x 7 x 47

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 347 are 347

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

Steps to Calculate GCD of 820, 658, 200, 347 using LCM Formula

Given numbers are 820, 658, 200, 347

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

Apply this formula for all numbers.

Step1:

LCM(820, 658) = 269780

GCD(820, 658) = ( 820 x 658 ) / 269780

= 820 / 658

= 820


Step2:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2


Step3:

LCM(2, 347) = 694

GCD(2, 347) = ( 2 x 347 ) / 694

= 2 / 347

= 2


So, Greatest Common Divisor of 820, 658, 200, 347 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 658, 200, 347

Given numbers are 820, 658, 200, 347
The greatest common divisor of numbers 820, 658, 200, 347 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 658, 200, 347 is 1.

FAQs on GCD of 820, 658, 200, 347 Calculator

1. What is the GCD of 820, 658, 200, 347?

GCD of given numbers 820, 658, 200, 347 is 1


2. How to calculate the greatest common divisor of 820, 658, 200, 347?

We can find the highest common divisor of 820, 658, 200, 347 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, 658, 200, 347 i.e 1.


3. How can I use the GCD of 820, 658, 200, 347Calculator?

Out the numbers 820, 658, 200, 347 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.