GCD of 558, 372, 120, 948 Calculator

Given Input numbers are 558, 372, 120, 948

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

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

GCD of numbers is the greatest common divisor

So, the GCD (558, 372, 120, 948) = 6.

Given numbers are 558, 372, 120, 948

The list of prime factors of all numbers are

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 372 are 2 x 2 x 3 x 31

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

Prime factors of 948 are 2 x 2 x 3 x 79

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 558, 372, 120, 948 is 6.

Given numbers are 558, 372, 120, 948

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

Apply this formula for all numbers.

Step1:

LCM(558, 372) = 1116

GCD(558, 372) = ( 558 x 372 ) / 1116

= 558 / 372

= 558

Step2:

LCM(186, 120) = 3720

GCD(186, 120) = ( 186 x 120 ) / 3720

= 186 / 120

= 186

Step3:

LCM(6, 948) = 948

GCD(6, 948) = ( 6 x 948 ) / 948

= 6 / 948

= 6

So, Greatest Common Divisor of 558, 372, 120, 948 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 988, 125, 398, 220
• GCD of 275, 510, 480, 160
• GCD of 951, 218, 897, 936
• GCD of 463, 603, 659, 336
• GCD of 447, 888, 249, 410

Given numbers are 558, 372, 120, 948
The greatest common divisor of numbers 558, 372, 120, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 372, 120, 948 is 6.

1. What is the GCD of 558, 372, 120, 948?

GCD of given numbers 558, 372, 120, 948 is 6

2. How to calculate the greatest common divisor of 558, 372, 120, 948?

We can find the highest common divisor of 558, 372, 120, 948 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 558, 372, 120, 948 i.e 6.

3. How can I use the GCD of 558, 372, 120, 948Calculator?

Out the numbers 558, 372, 120, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.