GCD of 879, 951, 741, 300 Calculator

Given Input numbers are 879, 951, 741, 300

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

Divisors of 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

Divisors of 951 :

The positive integer divisors of 951 that completely divides 951 are.

1, 3, 317, 951

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

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 (879, 951, 741, 300) = 3.

Given numbers are 879, 951, 741, 300

The list of prime factors of all numbers are

Prime factors of 879 are 3 x 293

Prime factors of 951 are 3 x 317

Prime factors of 741 are 3 x 13 x 19

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

The highest common occurrence is 3¹

Therefore, GCD of 879, 951, 741, 300 is 3.

Given numbers are 879, 951, 741, 300

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

Apply this formula for all numbers.

Step1:

LCM(879, 951) = 278643

GCD(879, 951) = ( 879 x 951 ) / 278643

= 879 / 951

= 879

Step2:

LCM(3, 741) = 741

GCD(3, 741) = ( 3 x 741 ) / 741

= 3 / 741

= 3

Step3:

LCM(3, 300) = 300

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

= 3 / 300

= 3

So, Greatest Common Divisor of 879, 951, 741, 300 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 968, 671, 733
• GCD of 175, 875, 875, 502
• GCD of 903, 481, 423, 348
• GCD of 880, 116, 827, 911
• GCD of 282, 603, 898, 686

Given numbers are 879, 951, 741, 300
The greatest common divisor of numbers 879, 951, 741, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 879, 951, 741, 300 is 3.

1. What is the GCD of 879, 951, 741, 300?

GCD of given numbers 879, 951, 741, 300 is 3

2. How to calculate the greatest common divisor of 879, 951, 741, 300?

We can find the highest common divisor of 879, 951, 741, 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 879, 951, 741, 300 i.e 3.

3. How can I use the GCD of 879, 951, 741, 300Calculator?

Out the numbers 879, 951, 741, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.