GCD of 548, 608, 34, 720 Calculator

Given Input numbers are 548, 608, 34, 720

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

Divisors of 548 :

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

1, 2, 4, 137, 274, 548

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 34 :

The positive integer divisors of 34 that completely divides 34 are.

1, 2, 17, 34

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (548, 608, 34, 720) = 2.

Given numbers are 548, 608, 34, 720

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 34 are 2 x 17

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 548, 608, 34, 720 is 2.

Given numbers are 548, 608, 34, 720

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

Apply this formula for all numbers.

Step1:

LCM(548, 608) = 83296

GCD(548, 608) = ( 548 x 608 ) / 83296

= 548 / 608

= 548

Step2:

LCM(4, 34) = 68

GCD(4, 34) = ( 4 x 34 ) / 68

= 4 / 34

= 4

Step3:

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

= 2 / 720

= 2

So, Greatest Common Divisor of 548, 608, 34, 720 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 254, 54, 697
• GCD of 529, 679, 27, 248
• GCD of 516, 314, 10, 698
• GCD of 454, 484, 19, 230
• GCD of 989, 578, 61, 779

Given numbers are 548, 608, 34, 720
The greatest common divisor of numbers 548, 608, 34, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 608, 34, 720 is 2.

1. What is the GCD of 548, 608, 34, 720?

GCD of given numbers 548, 608, 34, 720 is 2

2. How to calculate the greatest common divisor of 548, 608, 34, 720?

We can find the highest common divisor of 548, 608, 34, 720 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 548, 608, 34, 720 i.e 2.

3. How can I use the GCD of 548, 608, 34, 720Calculator?

Out the numbers 548, 608, 34, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.