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GCD of 462, 431, 647, 871 Calculator

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


Online GCD Calculator is useful to find the GCD of 462, 431, 647, 871 quickly. Get the easiest ways to solve the greatest common divisor of 462, 431, 647, 871 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 462, 431, 647, 871 with Factoring?

Given Input numbers are 462, 431, 647, 871

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 647 :

The positive integer divisors of 647 that completely divides 647 are.

1, 647

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871


GCD of numbers is the greatest common divisor

So, the GCD (462, 431, 647, 871) = 1.

Find GCD of 462, 431, 647, 871 using Prime Factorization

Given numbers are 462, 431, 647, 871

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 431 are 431

Prime factors of 647 are 647

Prime factors of 871 are 13 x 67

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

Steps to Calculate GCD of 462, 431, 647, 871 using LCM Formula

Given numbers are 462, 431, 647, 871

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

Apply this formula for all numbers.

Step1:

LCM(462, 431) = 199122

GCD(462, 431) = ( 462 x 431 ) / 199122

= 462 / 431

= 462


Step2:

LCM(1, 647) = 647

GCD(1, 647) = ( 1 x 647 ) / 647

= 1 / 647

= 1


Step3:

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

= 1 / 871

= 1


So, Greatest Common Divisor of 462, 431, 647, 871 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 462, 431, 647, 871

Given numbers are 462, 431, 647, 871
The greatest common divisor of numbers 462, 431, 647, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 431, 647, 871 is 1.

FAQs on GCD of 462, 431, 647, 871 Calculator

1. What is the GCD of 462, 431, 647, 871?

GCD of given numbers 462, 431, 647, 871 is 1


2. How to calculate the greatest common divisor of 462, 431, 647, 871?

We can find the highest common divisor of 462, 431, 647, 871 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 462, 431, 647, 871 i.e 1.


3. How can I use the GCD of 462, 431, 647, 871Calculator?

Out the numbers 462, 431, 647, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.