GCD of 723, 114, 861, 780 Calculator

Given Input numbers are 723, 114, 861, 780

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

GCD of numbers is the greatest common divisor

So, the GCD (723, 114, 861, 780) = 3.

Given numbers are 723, 114, 861, 780

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 114 are 2 x 3 x 19

Prime factors of 861 are 3 x 7 x 41

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 723, 114, 861, 780 is 3.

Given numbers are 723, 114, 861, 780

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

Apply this formula for all numbers.

Step1:

LCM(723, 114) = 27474

GCD(723, 114) = ( 723 x 114 ) / 27474

= 723 / 114

= 723

Step2:

LCM(3, 861) = 861

GCD(3, 861) = ( 3 x 861 ) / 861

= 3 / 861

= 3

Step3:

LCM(3, 780) = 780

GCD(3, 780) = ( 3 x 780 ) / 780

= 3 / 780

= 3

So, Greatest Common Divisor of 723, 114, 861, 780 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 463, 792, 840
• GCD of 273, 562, 438, 321
• GCD of 744, 312, 606, 934
• GCD of 899, 738, 115, 625
• GCD of 400, 878, 955, 644

Given numbers are 723, 114, 861, 780
The greatest common divisor of numbers 723, 114, 861, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 114, 861, 780 is 3.

1. What is the GCD of 723, 114, 861, 780?

GCD of given numbers 723, 114, 861, 780 is 3

2. How to calculate the greatest common divisor of 723, 114, 861, 780?

We can find the highest common divisor of 723, 114, 861, 780 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 723, 114, 861, 780 i.e 3.

3. How can I use the GCD of 723, 114, 861, 780Calculator?

Out the numbers 723, 114, 861, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.