GCD of 378, 114, 484, 126 Calculator

Given Input numbers are 378, 114, 484, 126

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

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 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCD of numbers is the greatest common divisor

So, the GCD (378, 114, 484, 126) = 2.

Given numbers are 378, 114, 484, 126

The list of prime factors of all numbers are

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

Prime factors of 114 are 2 x 3 x 19

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 126 are 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 378, 114, 484, 126 is 2.

Given numbers are 378, 114, 484, 126

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

Apply this formula for all numbers.

Step1:

LCM(378, 114) = 7182

GCD(378, 114) = ( 378 x 114 ) / 7182

= 378 / 114

= 378

Step2:

LCM(6, 484) = 1452

GCD(6, 484) = ( 6 x 484 ) / 1452

= 6 / 484

= 6

Step3:

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

= 2 / 126

= 2

So, Greatest Common Divisor of 378, 114, 484, 126 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 596, 535, 473
• GCD of 686, 484, 206, 817
• GCD of 245, 148, 158, 472
• GCD of 222, 475, 434, 868
• GCD of 810, 307, 904, 561

Given numbers are 378, 114, 484, 126
The greatest common divisor of numbers 378, 114, 484, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 114, 484, 126 is 2.

1. What is the GCD of 378, 114, 484, 126?

GCD of given numbers 378, 114, 484, 126 is 2

2. How to calculate the greatest common divisor of 378, 114, 484, 126?

We can find the highest common divisor of 378, 114, 484, 126 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 378, 114, 484, 126 i.e 2.

3. How can I use the GCD of 378, 114, 484, 126Calculator?

Out the numbers 378, 114, 484, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.