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GCD of 432, 264, 694, 670 Calculator

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


Online GCD Calculator is useful to find the GCD of 432, 264, 694, 670 quickly. Get the easiest ways to solve the greatest common divisor of 432, 264, 694, 670 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 432, 264, 694, 670 with Factoring?

Given Input numbers are 432, 264, 694, 670

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 670 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (432, 264, 694, 670) = 2.

Find GCD of 432, 264, 694, 670 using Prime Factorization

Given numbers are 432, 264, 694, 670

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 694 are 2 x 347

Prime factors of 670 are 2 x 5 x 67

The highest common occurrence is 21

Therefore, GCD of 432, 264, 694, 670 is 2.

Steps to Calculate GCD of 432, 264, 694, 670 using LCM Formula

Given numbers are 432, 264, 694, 670

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

Apply this formula for all numbers.

Step1:

LCM(432, 264) = 4752

GCD(432, 264) = ( 432 x 264 ) / 4752

= 432 / 264

= 432


Step2:

LCM(24, 694) = 8328

GCD(24, 694) = ( 24 x 694 ) / 8328

= 24 / 694

= 24


Step3:

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

= 2 / 670

= 2


So, Greatest Common Divisor of 432, 264, 694, 670 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 432, 264, 694, 670

Given numbers are 432, 264, 694, 670
The greatest common divisor of numbers 432, 264, 694, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 264, 694, 670 is 2.

FAQs on GCD of 432, 264, 694, 670 Calculator

1. What is the GCD of 432, 264, 694, 670?

GCD of given numbers 432, 264, 694, 670 is 2


2. How to calculate the greatest common divisor of 432, 264, 694, 670?

We can find the highest common divisor of 432, 264, 694, 670 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 432, 264, 694, 670 i.e 2.


3. How can I use the GCD of 432, 264, 694, 670Calculator?

Out the numbers 432, 264, 694, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.