GCD of 208, 948, 342, 446 Calculator

Given Input numbers are 208, 948, 342, 446

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

GCD of numbers is the greatest common divisor

So, the GCD (208, 948, 342, 446) = 2.

Given numbers are 208, 948, 342, 446

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

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 446 are 2 x 223

The highest common occurrence is 2¹

Therefore, GCD of 208, 948, 342, 446 is 2.

Given numbers are 208, 948, 342, 446

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

Apply this formula for all numbers.

Step1:

LCM(208, 948) = 49296

GCD(208, 948) = ( 208 x 948 ) / 49296

= 208 / 948

= 208

Step2:

LCM(4, 342) = 684

GCD(4, 342) = ( 4 x 342 ) / 684

= 4 / 342

= 4

Step3:

LCM(2, 446) = 446

GCD(2, 446) = ( 2 x 446 ) / 446

= 2 / 446

= 2

So, Greatest Common Divisor of 208, 948, 342, 446 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 418, 152, 656
• GCD of 886, 786, 234, 136
• GCD of 333, 677, 704, 565
• GCD of 214, 961, 353, 781
• GCD of 605, 172, 690, 518

Given numbers are 208, 948, 342, 446
The greatest common divisor of numbers 208, 948, 342, 446 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 948, 342, 446 is 2.

1. What is the GCD of 208, 948, 342, 446?

GCD of given numbers 208, 948, 342, 446 is 2

2. How to calculate the greatest common divisor of 208, 948, 342, 446?

We can find the highest common divisor of 208, 948, 342, 446 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 208, 948, 342, 446 i.e 2.

3. How can I use the GCD of 208, 948, 342, 446Calculator?

Out the numbers 208, 948, 342, 446 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.