GCD of 948, 342, 504, 398 Calculator

Given Input numbers are 948, 342, 504, 398

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

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 (948, 342, 504, 398) = 2.

Given numbers are 948, 342, 504, 398

The list of prime factors of all numbers are

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 948, 342, 504, 398 is 2.

Given numbers are 948, 342, 504, 398

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

Apply this formula for all numbers.

Step1:

LCM(948, 342) = 54036

GCD(948, 342) = ( 948 x 342 ) / 54036

= 948 / 342

= 948

Step2:

LCM(6, 504) = 504

GCD(6, 504) = ( 6 x 504 ) / 504

= 6 / 504

= 6

Step3:

LCM(6, 398) = 1194

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

= 6 / 398

= 6

So, Greatest Common Divisor of 948, 342, 504, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 355, 160, 184
• GCD of 440, 485, 721, 977
• GCD of 937, 167, 362, 708
• GCD of 859, 151, 467, 288
• GCD of 668, 812, 139, 260

Given numbers are 948, 342, 504, 398
The greatest common divisor of numbers 948, 342, 504, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 342, 504, 398 is 2.

1. What is the GCD of 948, 342, 504, 398?

GCD of given numbers 948, 342, 504, 398 is 2

2. How to calculate the greatest common divisor of 948, 342, 504, 398?

We can find the highest common divisor of 948, 342, 504, 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 948, 342, 504, 398 i.e 2.

3. How can I use the GCD of 948, 342, 504, 398Calculator?

Out the numbers 948, 342, 504, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.