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GCD of 462, 585, 822, 700 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, 585, 822, 700 quickly. Get the easiest ways to solve the greatest common divisor of 462, 585, 822, 700 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 462, 585, 822, 700 with Factoring?

Given Input numbers are 462, 585, 822, 700

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 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700


GCD of numbers is the greatest common divisor

So, the GCD (462, 585, 822, 700) = 1.

Find GCD of 462, 585, 822, 700 using Prime Factorization

Given numbers are 462, 585, 822, 700

The list of prime factors of all numbers are

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

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 822 are 2 x 3 x 137

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

Steps to Calculate GCD of 462, 585, 822, 700 using LCM Formula

Given numbers are 462, 585, 822, 700

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

Apply this formula for all numbers.

Step1:

LCM(462, 585) = 90090

GCD(462, 585) = ( 462 x 585 ) / 90090

= 462 / 585

= 462


Step2:

LCM(3, 822) = 822

GCD(3, 822) = ( 3 x 822 ) / 822

= 3 / 822

= 3


Step3:

LCM(3, 700) = 2100

GCD(3, 700) = ( 3 x 700 ) / 2100

= 3 / 700

= 3


So, Greatest Common Divisor of 462, 585, 822, 700 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 462, 585, 822, 700

Given numbers are 462, 585, 822, 700
The greatest common divisor of numbers 462, 585, 822, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 585, 822, 700 is 1.

FAQs on GCD of 462, 585, 822, 700 Calculator

1. What is the GCD of 462, 585, 822, 700?

GCD of given numbers 462, 585, 822, 700 is 1


2. How to calculate the greatest common divisor of 462, 585, 822, 700?

We can find the highest common divisor of 462, 585, 822, 700 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, 585, 822, 700 i.e 1.


3. How can I use the GCD of 462, 585, 822, 700Calculator?

Out the numbers 462, 585, 822, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.