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GCD of 804, 156, 60, 262 Calculator

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


Online GCD Calculator is useful to find the GCD of 804, 156, 60, 262 quickly. Get the easiest ways to solve the greatest common divisor of 804, 156, 60, 262 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 804, 156, 60, 262 with Factoring?

Given Input numbers are 804, 156, 60, 262

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

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262


GCD of numbers is the greatest common divisor

So, the GCD (804, 156, 60, 262) = 2.

Find GCD of 804, 156, 60, 262 using Prime Factorization

Given numbers are 804, 156, 60, 262

The list of prime factors of all numbers are

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 262 are 2 x 131

The highest common occurrence is 21

Therefore, GCD of 804, 156, 60, 262 is 2.

Steps to Calculate GCD of 804, 156, 60, 262 using LCM Formula

Given numbers are 804, 156, 60, 262

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

Apply this formula for all numbers.

Step1:

LCM(804, 156) = 10452

GCD(804, 156) = ( 804 x 156 ) / 10452

= 804 / 156

= 804


Step2:

LCM(12, 60) = 60

GCD(12, 60) = ( 12 x 60 ) / 60

= 12 / 60

= 12


Step3:

LCM(12, 262) = 1572

GCD(12, 262) = ( 12 x 262 ) / 1572

= 12 / 262

= 12


So, Greatest Common Divisor of 804, 156, 60, 262 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 804, 156, 60, 262

Given numbers are 804, 156, 60, 262
The greatest common divisor of numbers 804, 156, 60, 262 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 156, 60, 262 is 2.

FAQs on GCD of 804, 156, 60, 262 Calculator

1. What is the GCD of 804, 156, 60, 262?

GCD of given numbers 804, 156, 60, 262 is 2


2. How to calculate the greatest common divisor of 804, 156, 60, 262?

We can find the highest common divisor of 804, 156, 60, 262 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 804, 156, 60, 262 i.e 2.


3. How can I use the GCD of 804, 156, 60, 262Calculator?

Out the numbers 804, 156, 60, 262 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.