GCD of 813, 972, 261, 414 Calculator

Given Input numbers are 813, 972, 261, 414

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

Divisors of 813 :

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

1, 3, 271, 813

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 261 :

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

1, 3, 9, 29, 87, 261

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (813, 972, 261, 414) = 3.

Given numbers are 813, 972, 261, 414

The list of prime factors of all numbers are

Prime factors of 813 are 3 x 271

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 261 are 3 x 3 x 29

Prime factors of 414 are 2 x 3 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 813, 972, 261, 414 is 3.

Given numbers are 813, 972, 261, 414

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

Apply this formula for all numbers.

Step1:

LCM(813, 972) = 263412

GCD(813, 972) = ( 813 x 972 ) / 263412

= 813 / 972

= 813

Step2:

LCM(3, 261) = 261

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

= 3 / 261

= 3

Step3:

LCM(3, 414) = 414

GCD(3, 414) = ( 3 x 414 ) / 414

= 3 / 414

= 3

So, Greatest Common Divisor of 813, 972, 261, 414 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 109, 500, 682, 468
• GCD of 514, 466, 860, 468
• GCD of 805, 666, 959, 529
• GCD of 769, 827, 527, 508
• GCD of 317, 427, 844, 139

Given numbers are 813, 972, 261, 414
The greatest common divisor of numbers 813, 972, 261, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 813, 972, 261, 414 is 3.

1. What is the GCD of 813, 972, 261, 414?

GCD of given numbers 813, 972, 261, 414 is 3

2. How to calculate the greatest common divisor of 813, 972, 261, 414?

We can find the highest common divisor of 813, 972, 261, 414 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 813, 972, 261, 414 i.e 3.

3. How can I use the GCD of 813, 972, 261, 414Calculator?

Out the numbers 813, 972, 261, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.