GCD of 891, 813, 261, 144 Calculator

Given Input numbers are 891, 813, 261, 144

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (891, 813, 261, 144) = 3.

Given numbers are 891, 813, 261, 144

The list of prime factors of all numbers are

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 813 are 3 x 271

Prime factors of 261 are 3 x 3 x 29

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 891, 813, 261, 144 is 3.

Given numbers are 891, 813, 261, 144

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

Apply this formula for all numbers.

Step1:

LCM(891, 813) = 241461

GCD(891, 813) = ( 891 x 813 ) / 241461

= 891 / 813

= 891

Step2:

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

= 3 / 261

= 3

Step3:

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

= 3 / 144

= 3

So, Greatest Common Divisor of 891, 813, 261, 144 is 3

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• GCD of 895, 804, 330, 782
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Given numbers are 891, 813, 261, 144
The greatest common divisor of numbers 891, 813, 261, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 813, 261, 144 is 3.

1. What is the GCD of 891, 813, 261, 144?

GCD of given numbers 891, 813, 261, 144 is 3

2. How to calculate the greatest common divisor of 891, 813, 261, 144?

We can find the highest common divisor of 891, 813, 261, 144 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 891, 813, 261, 144 i.e 3.

3. How can I use the GCD of 891, 813, 261, 144Calculator?

Out the numbers 891, 813, 261, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.