GCD of 872, 300, 124, 984 Calculator

Given Input numbers are 872, 300, 124, 984

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

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

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (872, 300, 124, 984) = 4.

Given numbers are 872, 300, 124, 984

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

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

Prime factors of 124 are 2 x 2 x 31

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 2²

Therefore, GCD of 872, 300, 124, 984 is 4.

Given numbers are 872, 300, 124, 984

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

Apply this formula for all numbers.

Step1:

LCM(872, 300) = 65400

GCD(872, 300) = ( 872 x 300 ) / 65400

= 872 / 300

= 872

Step2:

LCM(4, 124) = 124

GCD(4, 124) = ( 4 x 124 ) / 124

= 4 / 124

= 4

Step3:

LCM(4, 984) = 984

GCD(4, 984) = ( 4 x 984 ) / 984

= 4 / 984

= 4

So, Greatest Common Divisor of 872, 300, 124, 984 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 353, 808, 516, 881
• GCD of 736, 584, 705, 357
• GCD of 988, 970, 308, 804
• GCD of 542, 917, 399, 945
• GCD of 307, 654, 991, 830

Given numbers are 872, 300, 124, 984
The greatest common divisor of numbers 872, 300, 124, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 300, 124, 984 is 4.

1. What is the GCD of 872, 300, 124, 984?

GCD of given numbers 872, 300, 124, 984 is 4

2. How to calculate the greatest common divisor of 872, 300, 124, 984?

We can find the highest common divisor of 872, 300, 124, 984 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 872, 300, 124, 984 i.e 4.

3. How can I use the GCD of 872, 300, 124, 984Calculator?

Out the numbers 872, 300, 124, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.