GCD of 984, 548, 30, 280 Calculator

Given Input numbers are 984, 548, 30, 280

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

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

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (984, 548, 30, 280) = 2.

Given numbers are 984, 548, 30, 280

The list of prime factors of all numbers are

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

Prime factors of 548 are 2 x 2 x 137

Prime factors of 30 are 2 x 3 x 5

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 984, 548, 30, 280 is 2.

Given numbers are 984, 548, 30, 280

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

Apply this formula for all numbers.

Step1:

LCM(984, 548) = 134808

GCD(984, 548) = ( 984 x 548 ) / 134808

= 984 / 548

= 984

Step2:

LCM(4, 30) = 60

GCD(4, 30) = ( 4 x 30 ) / 60

= 4 / 30

= 4

Step3:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

So, Greatest Common Divisor of 984, 548, 30, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 980, 70, 384
• GCD of 199, 233, 58, 876
• GCD of 778, 343, 84, 109
• GCD of 991, 702, 15, 828
• GCD of 474, 543, 82, 667

Given numbers are 984, 548, 30, 280
The greatest common divisor of numbers 984, 548, 30, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 548, 30, 280 is 2.

1. What is the GCD of 984, 548, 30, 280?

GCD of given numbers 984, 548, 30, 280 is 2

2. How to calculate the greatest common divisor of 984, 548, 30, 280?

We can find the highest common divisor of 984, 548, 30, 280 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 984, 548, 30, 280 i.e 2.

3. How can I use the GCD of 984, 548, 30, 280Calculator?

Out the numbers 984, 548, 30, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.