GCD of 540, 984, 680, 548 Calculator

Given Input numbers are 540, 984, 680, 548

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

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 548 :

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

1, 2, 4, 137, 274, 548

GCD of numbers is the greatest common divisor

So, the GCD (540, 984, 680, 548) = 4.

Given numbers are 540, 984, 680, 548

The list of prime factors of all numbers are

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

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

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 548 are 2 x 2 x 137

The highest common occurrence is 2²

Therefore, GCD of 540, 984, 680, 548 is 4.

Given numbers are 540, 984, 680, 548

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

Apply this formula for all numbers.

Step1:

LCM(540, 984) = 44280

GCD(540, 984) = ( 540 x 984 ) / 44280

= 540 / 984

= 540

Step2:

LCM(12, 680) = 2040

GCD(12, 680) = ( 12 x 680 ) / 2040

= 12 / 680

= 12

Step3:

LCM(4, 548) = 548

GCD(4, 548) = ( 4 x 548 ) / 548

= 4 / 548

= 4

So, Greatest Common Divisor of 540, 984, 680, 548 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 378, 133, 586
• GCD of 670, 664, 976, 152
• GCD of 865, 217, 970, 154
• GCD of 463, 487, 167, 910
• GCD of 616, 364, 118, 469

Given numbers are 540, 984, 680, 548
The greatest common divisor of numbers 540, 984, 680, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 984, 680, 548 is 4.

1. What is the GCD of 540, 984, 680, 548?

GCD of given numbers 540, 984, 680, 548 is 4

2. How to calculate the greatest common divisor of 540, 984, 680, 548?

We can find the highest common divisor of 540, 984, 680, 548 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 540, 984, 680, 548 i.e 4.

3. How can I use the GCD of 540, 984, 680, 548Calculator?

Out the numbers 540, 984, 680, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.