GCD of 276, 699, 789, 360 Calculator

Given Input numbers are 276, 699, 789, 360

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

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (276, 699, 789, 360) = 3.

Given numbers are 276, 699, 789, 360

The list of prime factors of all numbers are

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 699 are 3 x 233

Prime factors of 789 are 3 x 263

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 276, 699, 789, 360 is 3.

Given numbers are 276, 699, 789, 360

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

Apply this formula for all numbers.

Step1:

LCM(276, 699) = 64308

GCD(276, 699) = ( 276 x 699 ) / 64308

= 276 / 699

= 276

Step2:

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

= 3 / 789

= 3

Step3:

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

= 3 / 360

= 3

So, Greatest Common Divisor of 276, 699, 789, 360 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 679, 221, 566, 171
• GCD of 912, 240, 215, 128
• GCD of 689, 434, 254, 875
• GCD of 516, 804, 556, 912
• GCD of 947, 208, 597, 129

Given numbers are 276, 699, 789, 360
The greatest common divisor of numbers 276, 699, 789, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 699, 789, 360 is 3.

1. What is the GCD of 276, 699, 789, 360?

GCD of given numbers 276, 699, 789, 360 is 3

2. How to calculate the greatest common divisor of 276, 699, 789, 360?

We can find the highest common divisor of 276, 699, 789, 360 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 276, 699, 789, 360 i.e 3.

3. How can I use the GCD of 276, 699, 789, 360Calculator?

Out the numbers 276, 699, 789, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.