GCD of 729, 561, 948, 786 Calculator

Given Input numbers are 729, 561, 948, 786

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

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

GCD of numbers is the greatest common divisor

So, the GCD (729, 561, 948, 786) = 3.

Given numbers are 729, 561, 948, 786

The list of prime factors of all numbers are

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 561 are 3 x 11 x 17

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 786 are 2 x 3 x 131

The highest common occurrence is 3¹

Therefore, GCD of 729, 561, 948, 786 is 3.

Given numbers are 729, 561, 948, 786

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

Apply this formula for all numbers.

Step1:

LCM(729, 561) = 136323

GCD(729, 561) = ( 729 x 561 ) / 136323

= 729 / 561

= 729

Step2:

LCM(3, 948) = 948

GCD(3, 948) = ( 3 x 948 ) / 948

= 3 / 948

= 3

Step3:

LCM(3, 786) = 786

GCD(3, 786) = ( 3 x 786 ) / 786

= 3 / 786

= 3

So, Greatest Common Divisor of 729, 561, 948, 786 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 301, 608, 771
• GCD of 364, 862, 325, 362
• GCD of 173, 419, 711, 254
• GCD of 390, 368, 148, 506
• GCD of 453, 813, 756, 938

Given numbers are 729, 561, 948, 786
The greatest common divisor of numbers 729, 561, 948, 786 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 561, 948, 786 is 3.

1. What is the GCD of 729, 561, 948, 786?

GCD of given numbers 729, 561, 948, 786 is 3

2. How to calculate the greatest common divisor of 729, 561, 948, 786?

We can find the highest common divisor of 729, 561, 948, 786 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 729, 561, 948, 786 i.e 3.

3. How can I use the GCD of 729, 561, 948, 786Calculator?

Out the numbers 729, 561, 948, 786 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.