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GCD of 615, 462, 153, 834 Calculator

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


Online GCD Calculator is useful to find the GCD of 615, 462, 153, 834 quickly. Get the easiest ways to solve the greatest common divisor of 615, 462, 153, 834 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 615, 462, 153, 834 with Factoring?

Given Input numbers are 615, 462, 153, 834

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

Divisors of 615 :

The positive integer divisors of 615 that completely divides 615 are.

1, 3, 5, 15, 41, 123, 205, 615

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 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834


GCD of numbers is the greatest common divisor

So, the GCD (615, 462, 153, 834) = 3.

Find GCD of 615, 462, 153, 834 using Prime Factorization

Given numbers are 615, 462, 153, 834

The list of prime factors of all numbers are

Prime factors of 615 are 3 x 5 x 41

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

Prime factors of 153 are 3 x 3 x 17

Prime factors of 834 are 2 x 3 x 139

The highest common occurrence is 31

Therefore, GCD of 615, 462, 153, 834 is 3.

Steps to Calculate GCD of 615, 462, 153, 834 using LCM Formula

Given numbers are 615, 462, 153, 834

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

Apply this formula for all numbers.

Step1:

LCM(615, 462) = 94710

GCD(615, 462) = ( 615 x 462 ) / 94710

= 615 / 462

= 615


Step2:

LCM(3, 153) = 153

GCD(3, 153) = ( 3 x 153 ) / 153

= 3 / 153

= 3


Step3:

LCM(3, 834) = 834

GCD(3, 834) = ( 3 x 834 ) / 834

= 3 / 834

= 3


So, Greatest Common Divisor of 615, 462, 153, 834 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 615, 462, 153, 834

Given numbers are 615, 462, 153, 834
The greatest common divisor of numbers 615, 462, 153, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 615, 462, 153, 834 is 3.

FAQs on GCD of 615, 462, 153, 834 Calculator

1. What is the GCD of 615, 462, 153, 834?

GCD of given numbers 615, 462, 153, 834 is 3


2. How to calculate the greatest common divisor of 615, 462, 153, 834?

We can find the highest common divisor of 615, 462, 153, 834 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 615, 462, 153, 834 i.e 3.


3. How can I use the GCD of 615, 462, 153, 834Calculator?

Out the numbers 615, 462, 153, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.