GCD of 654, 378, 398 Calculator

Given Input numbers are 654, 378, 398

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

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 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (654, 378, 398) = 2.

Given numbers are 654, 378, 398

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

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

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 654, 378, 398 is 2.

Given numbers are 654, 378, 398

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

Apply this formula for all numbers.

Step1:

LCM(654, 378) = 41202

GCD(654, 378) = ( 654 x 378 ) / 41202

= 654 / 378

= 654

Step2:

LCM(6, 398) = 1194

GCD(6, 398) = ( 6 x 398 ) / 1194

= 6 / 398

= 6

So, Greatest Common Divisor of 654, 378, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 432, 131
• GCD of 984, 203, 457
• GCD of 694, 241, 699
• GCD of 324, 456, 953
• GCD of 898, 852, 890

Given numbers are 654, 378, 398
The greatest common divisor of numbers 654, 378, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 378, 398 is 2.

1. What is the GCD of 654, 378, 398?

GCD of given numbers 654, 378, 398 is 2

2. How to calculate the greatest common divisor of 654, 378, 398?

We can find the highest common divisor of 654, 378, 398 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 654, 378, 398 i.e 2.

3. How can I use the GCD of 654, 378, 398Calculator?

Out the numbers 654, 378, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.