GCD of 548, 748, 558, 378 Calculator

Given Input numbers are 548, 748, 558, 378

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (548, 748, 558, 378) = 2.

Given numbers are 548, 748, 558, 378

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 748 are 2 x 2 x 11 x 17

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

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 548, 748, 558, 378 is 2.

Given numbers are 548, 748, 558, 378

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

Apply this formula for all numbers.

Step1:

LCM(548, 748) = 102476

GCD(548, 748) = ( 548 x 748 ) / 102476

= 548 / 748

= 548

Step2:

LCM(4, 558) = 1116

GCD(4, 558) = ( 4 x 558 ) / 1116

= 4 / 558

= 4

Step3:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2

So, Greatest Common Divisor of 548, 748, 558, 378 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 726, 112, 307, 507
• GCD of 932, 663, 408, 510
• GCD of 787, 448, 395, 234
• GCD of 763, 452, 274, 840
• GCD of 510, 949, 565, 281

Given numbers are 548, 748, 558, 378
The greatest common divisor of numbers 548, 748, 558, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 748, 558, 378 is 2.

1. What is the GCD of 548, 748, 558, 378?

GCD of given numbers 548, 748, 558, 378 is 2

2. How to calculate the greatest common divisor of 548, 748, 558, 378?

We can find the highest common divisor of 548, 748, 558, 378 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, 748, 558, 378 i.e 2.

3. How can I use the GCD of 548, 748, 558, 378Calculator?

Out the numbers 548, 748, 558, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.