GCD of 378, 490, 336 Calculator

Given Input numbers are 378, 490, 336

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 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

GCD of numbers is the greatest common divisor

So, the GCD (378, 490, 336) = 14.

Given numbers are 378, 490, 336

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 490 are 2 x 5 x 7 x 7

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 378, 490, 336 is 14.

Given numbers are 378, 490, 336

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

Apply this formula for all numbers.

Step1:

LCM(378, 490) = 13230

GCD(378, 490) = ( 378 x 490 ) / 13230

= 378 / 490

= 378

Step2:

LCM(14, 336) = 336

GCD(14, 336) = ( 14 x 336 ) / 336

= 14 / 336

= 14

So, Greatest Common Divisor of 378, 490, 336 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 143, 151
• GCD of 445, 275, 654
• GCD of 809, 326, 101
• GCD of 251, 853, 255
• GCD of 533, 800, 696

Given numbers are 378, 490, 336
The greatest common divisor of numbers 378, 490, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 490, 336 is 14.

1. What is the GCD of 378, 490, 336?

GCD of given numbers 378, 490, 336 is 14

2. How to calculate the greatest common divisor of 378, 490, 336?

We can find the highest common divisor of 378, 490, 336 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, 490, 336 i.e 14.

3. How can I use the GCD of 378, 490, 336Calculator?

Out the numbers 378, 490, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.