GCD of 861, 315, 795, 300 Calculator

Given Input numbers are 861, 315, 795, 300

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

Divisors of 861 :

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

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (861, 315, 795, 300) = 3.

Given numbers are 861, 315, 795, 300

The list of prime factors of all numbers are

Prime factors of 861 are 3 x 7 x 41

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 795 are 3 x 5 x 53

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 861, 315, 795, 300 is 3.

Given numbers are 861, 315, 795, 300

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

Apply this formula for all numbers.

Step1:

LCM(861, 315) = 12915

GCD(861, 315) = ( 861 x 315 ) / 12915

= 861 / 315

= 861

Step2:

LCM(21, 795) = 5565

GCD(21, 795) = ( 21 x 795 ) / 5565

= 21 / 795

= 21

Step3:

LCM(3, 300) = 300

GCD(3, 300) = ( 3 x 300 ) / 300

= 3 / 300

= 3

So, Greatest Common Divisor of 861, 315, 795, 300 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 709, 199, 471
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• GCD of 730, 688, 603, 515
• GCD of 937, 261, 329, 371
• GCD of 170, 771, 984, 478

Given numbers are 861, 315, 795, 300
The greatest common divisor of numbers 861, 315, 795, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 315, 795, 300 is 3.

1. What is the GCD of 861, 315, 795, 300?

GCD of given numbers 861, 315, 795, 300 is 3

2. How to calculate the greatest common divisor of 861, 315, 795, 300?

We can find the highest common divisor of 861, 315, 795, 300 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 861, 315, 795, 300 i.e 3.

3. How can I use the GCD of 861, 315, 795, 300Calculator?

Out the numbers 861, 315, 795, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.