GCD of 208, 466, 596, 952 Calculator

Given Input numbers are 208, 466, 596, 952

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 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

GCD of numbers is the greatest common divisor

So, the GCD (208, 466, 596, 952) = 2.

Given numbers are 208, 466, 596, 952

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 466 are 2 x 233

Prime factors of 596 are 2 x 2 x 149

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 208, 466, 596, 952 is 2.

Given numbers are 208, 466, 596, 952

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

Apply this formula for all numbers.

Step1:

LCM(208, 466) = 48464

GCD(208, 466) = ( 208 x 466 ) / 48464

= 208 / 466

= 208

Step2:

LCM(2, 596) = 596

GCD(2, 596) = ( 2 x 596 ) / 596

= 2 / 596

= 2

Step3:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2

So, Greatest Common Divisor of 208, 466, 596, 952 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 236, 188, 642
• GCD of 755, 837, 975, 584
• GCD of 425, 932, 878, 239
• GCD of 147, 847, 550, 673
• GCD of 624, 544, 779, 995

Given numbers are 208, 466, 596, 952
The greatest common divisor of numbers 208, 466, 596, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 466, 596, 952 is 2.

1. What is the GCD of 208, 466, 596, 952?

GCD of given numbers 208, 466, 596, 952 is 2

2. How to calculate the greatest common divisor of 208, 466, 596, 952?

We can find the highest common divisor of 208, 466, 596, 952 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, 466, 596, 952 i.e 2.

3. How can I use the GCD of 208, 466, 596, 952Calculator?

Out the numbers 208, 466, 596, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.