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GCD of 820, 470, 122, 435 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, 470, 122, 435 quickly. Get the easiest ways to solve the greatest common divisor of 820, 470, 122, 435 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 470, 122, 435 with Factoring?

Given Input numbers are 820, 470, 122, 435

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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435


GCD of numbers is the greatest common divisor

So, the GCD (820, 470, 122, 435) = 1.

Find GCD of 820, 470, 122, 435 using Prime Factorization

Given numbers are 820, 470, 122, 435

The list of prime factors of all numbers are

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

Prime factors of 470 are 2 x 5 x 47

Prime factors of 122 are 2 x 61

Prime factors of 435 are 3 x 5 x 29

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

Steps to Calculate GCD of 820, 470, 122, 435 using LCM Formula

Given numbers are 820, 470, 122, 435

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

Apply this formula for all numbers.

Step1:

LCM(820, 470) = 38540

GCD(820, 470) = ( 820 x 470 ) / 38540

= 820 / 470

= 820


Step2:

LCM(10, 122) = 610

GCD(10, 122) = ( 10 x 122 ) / 610

= 10 / 122

= 10


Step3:

LCM(2, 435) = 870

GCD(2, 435) = ( 2 x 435 ) / 870

= 2 / 435

= 2


So, Greatest Common Divisor of 820, 470, 122, 435 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 470, 122, 435

Given numbers are 820, 470, 122, 435
The greatest common divisor of numbers 820, 470, 122, 435 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 470, 122, 435 is 1.

FAQs on GCD of 820, 470, 122, 435 Calculator

1. What is the GCD of 820, 470, 122, 435?

GCD of given numbers 820, 470, 122, 435 is 1


2. How to calculate the greatest common divisor of 820, 470, 122, 435?

We can find the highest common divisor of 820, 470, 122, 435 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, 470, 122, 435 i.e 1.


3. How can I use the GCD of 820, 470, 122, 435Calculator?

Out the numbers 820, 470, 122, 435 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.