GCD of 548, 440, 782, 120 Calculator

Given Input numbers are 548, 440, 782, 120

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 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (548, 440, 782, 120) = 2.

Given numbers are 548, 440, 782, 120

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 782 are 2 x 17 x 23

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 548, 440, 782, 120 is 2.

Given numbers are 548, 440, 782, 120

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

Apply this formula for all numbers.

Step1:

LCM(548, 440) = 60280

GCD(548, 440) = ( 548 x 440 ) / 60280

= 548 / 440

= 548

Step2:

LCM(4, 782) = 1564

GCD(4, 782) = ( 4 x 782 ) / 1564

= 4 / 782

= 4

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 548, 440, 782, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 411, 522, 616, 537
• GCD of 514, 562, 101, 206
• GCD of 603, 214, 460, 606
• GCD of 858, 975, 528, 574
• GCD of 414, 817, 456, 882

Given numbers are 548, 440, 782, 120
The greatest common divisor of numbers 548, 440, 782, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 440, 782, 120 is 2.

1. What is the GCD of 548, 440, 782, 120?

GCD of given numbers 548, 440, 782, 120 is 2

2. How to calculate the greatest common divisor of 548, 440, 782, 120?

We can find the highest common divisor of 548, 440, 782, 120 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, 440, 782, 120 i.e 2.

3. How can I use the GCD of 548, 440, 782, 120Calculator?

Out the numbers 548, 440, 782, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.