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GCD of 462, 670, 582, 358 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, 670, 582, 358 quickly. Get the easiest ways to solve the greatest common divisor of 462, 670, 582, 358 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 462, 670, 582, 358 with Factoring?

Given Input numbers are 462, 670, 582, 358

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 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358


GCD of numbers is the greatest common divisor

So, the GCD (462, 670, 582, 358) = 2.

Find GCD of 462, 670, 582, 358 using Prime Factorization

Given numbers are 462, 670, 582, 358

The list of prime factors of all numbers are

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

Prime factors of 670 are 2 x 5 x 67

Prime factors of 582 are 2 x 3 x 97

Prime factors of 358 are 2 x 179

The highest common occurrence is 21

Therefore, GCD of 462, 670, 582, 358 is 2.

Steps to Calculate GCD of 462, 670, 582, 358 using LCM Formula

Given numbers are 462, 670, 582, 358

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

Apply this formula for all numbers.

Step1:

LCM(462, 670) = 154770

GCD(462, 670) = ( 462 x 670 ) / 154770

= 462 / 670

= 462


Step2:

LCM(2, 582) = 582

GCD(2, 582) = ( 2 x 582 ) / 582

= 2 / 582

= 2


Step3:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2


So, Greatest Common Divisor of 462, 670, 582, 358 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 462, 670, 582, 358

Given numbers are 462, 670, 582, 358
The greatest common divisor of numbers 462, 670, 582, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 670, 582, 358 is 2.

FAQs on GCD of 462, 670, 582, 358 Calculator

1. What is the GCD of 462, 670, 582, 358?

GCD of given numbers 462, 670, 582, 358 is 2


2. How to calculate the greatest common divisor of 462, 670, 582, 358?

We can find the highest common divisor of 462, 670, 582, 358 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, 670, 582, 358 i.e 2.


3. How can I use the GCD of 462, 670, 582, 358Calculator?

Out the numbers 462, 670, 582, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.