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GCD of 276, 585, 402, 906 Calculator

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


Online GCD Calculator is useful to find the GCD of 276, 585, 402, 906 quickly. Get the easiest ways to solve the greatest common divisor of 276, 585, 402, 906 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 276, 585, 402, 906 with Factoring?

Given Input numbers are 276, 585, 402, 906

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

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906


GCD of numbers is the greatest common divisor

So, the GCD (276, 585, 402, 906) = 3.

Find GCD of 276, 585, 402, 906 using Prime Factorization

Given numbers are 276, 585, 402, 906

The list of prime factors of all numbers are

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 402 are 2 x 3 x 67

Prime factors of 906 are 2 x 3 x 151

The highest common occurrence is 31

Therefore, GCD of 276, 585, 402, 906 is 3.

Steps to Calculate GCD of 276, 585, 402, 906 using LCM Formula

Given numbers are 276, 585, 402, 906

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

Apply this formula for all numbers.

Step1:

LCM(276, 585) = 53820

GCD(276, 585) = ( 276 x 585 ) / 53820

= 276 / 585

= 276


Step2:

LCM(3, 402) = 402

GCD(3, 402) = ( 3 x 402 ) / 402

= 3 / 402

= 3


Step3:

LCM(3, 906) = 906

GCD(3, 906) = ( 3 x 906 ) / 906

= 3 / 906

= 3


So, Greatest Common Divisor of 276, 585, 402, 906 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 276, 585, 402, 906

Given numbers are 276, 585, 402, 906
The greatest common divisor of numbers 276, 585, 402, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 585, 402, 906 is 3.

FAQs on GCD of 276, 585, 402, 906 Calculator

1. What is the GCD of 276, 585, 402, 906?

GCD of given numbers 276, 585, 402, 906 is 3


2. How to calculate the greatest common divisor of 276, 585, 402, 906?

We can find the highest common divisor of 276, 585, 402, 906 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 276, 585, 402, 906 i.e 3.


3. How can I use the GCD of 276, 585, 402, 906Calculator?

Out the numbers 276, 585, 402, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.