GCD of 398, 964, 354 Calculator

Given Input numbers are 398, 964, 354

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

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (398, 964, 354) = 2.

Given numbers are 398, 964, 354

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 964 are 2 x 2 x 241

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 398, 964, 354 is 2.

Given numbers are 398, 964, 354

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

Apply this formula for all numbers.

Step1:

LCM(398, 964) = 191836

GCD(398, 964) = ( 398 x 964 ) / 191836

= 398 / 964

= 398

Step2:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2

So, Greatest Common Divisor of 398, 964, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 688, 622
• GCD of 825, 815, 572
• GCD of 821, 737, 455
• GCD of 598, 997, 697
• GCD of 349, 338, 396

Given numbers are 398, 964, 354
The greatest common divisor of numbers 398, 964, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 964, 354 is 2.

1. What is the GCD of 398, 964, 354?

GCD of given numbers 398, 964, 354 is 2

2. How to calculate the greatest common divisor of 398, 964, 354?

We can find the highest common divisor of 398, 964, 354 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 398, 964, 354 i.e 2.

3. How can I use the GCD of 398, 964, 354Calculator?

Out the numbers 398, 964, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.