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GCD of 422, 402, 860, 513 Calculator

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


Online GCD Calculator is useful to find the GCD of 422, 402, 860, 513 quickly. Get the easiest ways to solve the greatest common divisor of 422, 402, 860, 513 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 422, 402, 860, 513 with Factoring?

Given Input numbers are 422, 402, 860, 513

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513


GCD of numbers is the greatest common divisor

So, the GCD (422, 402, 860, 513) = 1.

Find GCD of 422, 402, 860, 513 using Prime Factorization

Given numbers are 422, 402, 860, 513

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 402 are 2 x 3 x 67

Prime factors of 860 are 2 x 2 x 5 x 43

Prime factors of 513 are 3 x 3 x 3 x 19

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

Steps to Calculate GCD of 422, 402, 860, 513 using LCM Formula

Given numbers are 422, 402, 860, 513

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

Apply this formula for all numbers.

Step1:

LCM(422, 402) = 84822

GCD(422, 402) = ( 422 x 402 ) / 84822

= 422 / 402

= 422


Step2:

LCM(2, 860) = 860

GCD(2, 860) = ( 2 x 860 ) / 860

= 2 / 860

= 2


Step3:

LCM(2, 513) = 1026

GCD(2, 513) = ( 2 x 513 ) / 1026

= 2 / 513

= 2


So, Greatest Common Divisor of 422, 402, 860, 513 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 422, 402, 860, 513

Given numbers are 422, 402, 860, 513
The greatest common divisor of numbers 422, 402, 860, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 402, 860, 513 is 1.

FAQs on GCD of 422, 402, 860, 513 Calculator

1. What is the GCD of 422, 402, 860, 513?

GCD of given numbers 422, 402, 860, 513 is 1


2. How to calculate the greatest common divisor of 422, 402, 860, 513?

We can find the highest common divisor of 422, 402, 860, 513 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 422, 402, 860, 513 i.e 1.


3. How can I use the GCD of 422, 402, 860, 513Calculator?

Out the numbers 422, 402, 860, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.