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GCD of 678, 652, 232, 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 678, 652, 232, 670 quickly. Get the easiest ways to solve the greatest common divisor of 678, 652, 232, 670 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 678, 652, 232, 670 with Factoring?

Given Input numbers are 678, 652, 232, 670

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

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 (678, 652, 232, 670) = 2.

Find GCD of 678, 652, 232, 670 using Prime Factorization

Given numbers are 678, 652, 232, 670

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 652 are 2 x 2 x 163

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 670 are 2 x 5 x 67

The highest common occurrence is 21

Therefore, GCD of 678, 652, 232, 670 is 2.

Steps to Calculate GCD of 678, 652, 232, 670 using LCM Formula

Given numbers are 678, 652, 232, 670

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

Apply this formula for all numbers.

Step1:

LCM(678, 652) = 221028

GCD(678, 652) = ( 678 x 652 ) / 221028

= 678 / 652

= 678


Step2:

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

= 2 / 232

= 2


Step3:

LCM(2, 670) = 670

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

= 2 / 670

= 2


So, Greatest Common Divisor of 678, 652, 232, 670 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 678, 652, 232, 670

Given numbers are 678, 652, 232, 670
The greatest common divisor of numbers 678, 652, 232, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 652, 232, 670 is 2.

FAQs on GCD of 678, 652, 232, 670 Calculator

1. What is the GCD of 678, 652, 232, 670?

GCD of given numbers 678, 652, 232, 670 is 2


2. How to calculate the greatest common divisor of 678, 652, 232, 670?

We can find the highest common divisor of 678, 652, 232, 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 678, 652, 232, 670 i.e 2.


3. How can I use the GCD of 678, 652, 232, 670Calculator?

Out the numbers 678, 652, 232, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.