GCD of 348, 272, 300, 984 Calculator

Given Input numbers are 348, 272, 300, 984

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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 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 (348, 272, 300, 984) = 4.

Given numbers are 348, 272, 300, 984

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

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

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

The highest common occurrence is 2²

Therefore, GCD of 348, 272, 300, 984 is 4.

Given numbers are 348, 272, 300, 984

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

Apply this formula for all numbers.

Step1:

LCM(348, 272) = 23664

GCD(348, 272) = ( 348 x 272 ) / 23664

= 348 / 272

= 348

Step2:

LCM(4, 300) = 300

GCD(4, 300) = ( 4 x 300 ) / 300

= 4 / 300

= 4

Step3:

LCM(4, 984) = 984

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

= 4 / 984

= 4

So, Greatest Common Divisor of 348, 272, 300, 984 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 335, 639, 501
• GCD of 340, 148, 159, 903
• GCD of 165, 426, 252, 997
• GCD of 732, 231, 171, 586
• GCD of 253, 644, 870, 947

Given numbers are 348, 272, 300, 984
The greatest common divisor of numbers 348, 272, 300, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 272, 300, 984 is 4.

1. What is the GCD of 348, 272, 300, 984?

GCD of given numbers 348, 272, 300, 984 is 4

2. How to calculate the greatest common divisor of 348, 272, 300, 984?

We can find the highest common divisor of 348, 272, 300, 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 348, 272, 300, 984 i.e 4.

3. How can I use the GCD of 348, 272, 300, 984Calculator?

Out the numbers 348, 272, 300, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.