GCD of 542, 378, 554, 120 Calculator

Given Input numbers are 542, 378, 554, 120

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

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

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

Divisors of 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

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 (542, 378, 554, 120) = 2.

Given numbers are 542, 378, 554, 120

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

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

Prime factors of 554 are 2 x 277

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

The highest common occurrence is 2¹

Therefore, GCD of 542, 378, 554, 120 is 2.

Given numbers are 542, 378, 554, 120

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

Apply this formula for all numbers.

Step1:

LCM(542, 378) = 102438

GCD(542, 378) = ( 542 x 378 ) / 102438

= 542 / 378

= 542

Step2:

LCM(2, 554) = 554

GCD(2, 554) = ( 2 x 554 ) / 554

= 2 / 554

= 2

Step3:

LCM(2, 120) = 120

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

= 2 / 120

= 2

So, Greatest Common Divisor of 542, 378, 554, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 690, 496, 556
• GCD of 826, 885, 799, 331
• GCD of 239, 542, 626, 294
• GCD of 162, 123, 242, 490
• GCD of 732, 618, 871, 469

Given numbers are 542, 378, 554, 120
The greatest common divisor of numbers 542, 378, 554, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 378, 554, 120 is 2.

1. What is the GCD of 542, 378, 554, 120?

GCD of given numbers 542, 378, 554, 120 is 2

2. How to calculate the greatest common divisor of 542, 378, 554, 120?

We can find the highest common divisor of 542, 378, 554, 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 542, 378, 554, 120 i.e 2.

3. How can I use the GCD of 542, 378, 554, 120Calculator?

Out the numbers 542, 378, 554, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.