GCD of 378, 206, 168, 356 Calculator

Given Input numbers are 378, 206, 168, 356

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 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

GCD of numbers is the greatest common divisor

So, the GCD (378, 206, 168, 356) = 2.

Given numbers are 378, 206, 168, 356

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 206 are 2 x 103

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 356 are 2 x 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 378, 206, 168, 356 is 2.

Given numbers are 378, 206, 168, 356

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

Apply this formula for all numbers.

Step1:

LCM(378, 206) = 38934

GCD(378, 206) = ( 378 x 206 ) / 38934

= 378 / 206

= 378

Step2:

LCM(2, 168) = 168

GCD(2, 168) = ( 2 x 168 ) / 168

= 2 / 168

= 2

Step3:

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

= 2 / 356

= 2

So, Greatest Common Divisor of 378, 206, 168, 356 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 382, 988, 703
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• GCD of 400, 451, 494, 539
• GCD of 403, 769, 685, 805

Given numbers are 378, 206, 168, 356
The greatest common divisor of numbers 378, 206, 168, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 206, 168, 356 is 2.

1. What is the GCD of 378, 206, 168, 356?

GCD of given numbers 378, 206, 168, 356 is 2

2. How to calculate the greatest common divisor of 378, 206, 168, 356?

We can find the highest common divisor of 378, 206, 168, 356 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, 206, 168, 356 i.e 2.

3. How can I use the GCD of 378, 206, 168, 356Calculator?

Out the numbers 378, 206, 168, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.