GCD of 308, 398, 464, 452 Calculator

Given Input numbers are 308, 398, 464, 452

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

GCD of numbers is the greatest common divisor

So, the GCD (308, 398, 464, 452) = 2.

Given numbers are 308, 398, 464, 452

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 398 are 2 x 199

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 452 are 2 x 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 308, 398, 464, 452 is 2.

Given numbers are 308, 398, 464, 452

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

Apply this formula for all numbers.

Step1:

LCM(308, 398) = 61292

GCD(308, 398) = ( 308 x 398 ) / 61292

= 308 / 398

= 308

Step2:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

Step3:

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

= 2 / 452

= 2

So, Greatest Common Divisor of 308, 398, 464, 452 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 585, 976, 617
• GCD of 725, 316, 363, 598
• GCD of 856, 212, 299, 410
• GCD of 890, 121, 414, 219
• GCD of 372, 956, 858, 189

Given numbers are 308, 398, 464, 452
The greatest common divisor of numbers 308, 398, 464, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 398, 464, 452 is 2.

1. What is the GCD of 308, 398, 464, 452?

GCD of given numbers 308, 398, 464, 452 is 2

2. How to calculate the greatest common divisor of 308, 398, 464, 452?

We can find the highest common divisor of 308, 398, 464, 452 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 308, 398, 464, 452 i.e 2.

3. How can I use the GCD of 308, 398, 464, 452Calculator?

Out the numbers 308, 398, 464, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.