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GCD of 639, 750, 162, 690 Calculator

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


Online GCD Calculator is useful to find the GCD of 639, 750, 162, 690 quickly. Get the easiest ways to solve the greatest common divisor of 639, 750, 162, 690 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 639, 750, 162, 690 with Factoring?

Given Input numbers are 639, 750, 162, 690

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

Divisors of 639 :

The positive integer divisors of 639 that completely divides 639 are.

1, 3, 9, 71, 213, 639

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690


GCD of numbers is the greatest common divisor

So, the GCD (639, 750, 162, 690) = 3.

Find GCD of 639, 750, 162, 690 using Prime Factorization

Given numbers are 639, 750, 162, 690

The list of prime factors of all numbers are

Prime factors of 639 are 3 x 3 x 71

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 31

Therefore, GCD of 639, 750, 162, 690 is 3.

Steps to Calculate GCD of 639, 750, 162, 690 using LCM Formula

Given numbers are 639, 750, 162, 690

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

Apply this formula for all numbers.

Step1:

LCM(639, 750) = 159750

GCD(639, 750) = ( 639 x 750 ) / 159750

= 639 / 750

= 639


Step2:

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

= 3 / 162

= 3


Step3:

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

= 3 / 690

= 3


So, Greatest Common Divisor of 639, 750, 162, 690 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 639, 750, 162, 690

Given numbers are 639, 750, 162, 690
The greatest common divisor of numbers 639, 750, 162, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 639, 750, 162, 690 is 3.

FAQs on GCD of 639, 750, 162, 690 Calculator

1. What is the GCD of 639, 750, 162, 690?

GCD of given numbers 639, 750, 162, 690 is 3


2. How to calculate the greatest common divisor of 639, 750, 162, 690?

We can find the highest common divisor of 639, 750, 162, 690 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 639, 750, 162, 690 i.e 3.


3. How can I use the GCD of 639, 750, 162, 690Calculator?

Out the numbers 639, 750, 162, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.