GCD of 261, 882, 972 Calculator

Given Input numbers are 261, 882, 972

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

Divisors of 261 :

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

1, 3, 9, 29, 87, 261

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

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

GCD of numbers is the greatest common divisor

So, the GCD (261, 882, 972) = 9.

Given numbers are 261, 882, 972

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

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

The highest common occurrence is 3²

Therefore, GCD of 261, 882, 972 is 9.

Given numbers are 261, 882, 972

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

Apply this formula for all numbers.

Step1:

LCM(261, 882) = 25578

GCD(261, 882) = ( 261 x 882 ) / 25578

= 261 / 882

= 261

Step2:

LCM(9, 972) = 972

GCD(9, 972) = ( 9 x 972 ) / 972

= 9 / 972

= 9

So, Greatest Common Divisor of 261, 882, 972 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 460, 712
• GCD of 717, 806, 319
• GCD of 172, 945, 780
• GCD of 368, 444, 770
• GCD of 776, 617, 878

Given numbers are 261, 882, 972
The greatest common divisor of numbers 261, 882, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 882, 972 is 9.

1. What is the GCD of 261, 882, 972?

GCD of given numbers 261, 882, 972 is 9

2. How to calculate the greatest common divisor of 261, 882, 972?

We can find the highest common divisor of 261, 882, 972 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 261, 882, 972 i.e 9.

3. How can I use the GCD of 261, 882, 972Calculator?

Out the numbers 261, 882, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.