GCD of 704, 252, 166, 418 Calculator

Given Input numbers are 704, 252, 166, 418

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

GCD of numbers is the greatest common divisor

So, the GCD (704, 252, 166, 418) = 2.

Given numbers are 704, 252, 166, 418

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 166 are 2 x 83

Prime factors of 418 are 2 x 11 x 19

The highest common occurrence is 2¹

Therefore, GCD of 704, 252, 166, 418 is 2.

Given numbers are 704, 252, 166, 418

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

Apply this formula for all numbers.

Step1:

LCM(704, 252) = 44352

GCD(704, 252) = ( 704 x 252 ) / 44352

= 704 / 252

= 704

Step2:

LCM(4, 166) = 332

GCD(4, 166) = ( 4 x 166 ) / 332

= 4 / 166

= 4

Step3:

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

= 2 / 418

= 2

So, Greatest Common Divisor of 704, 252, 166, 418 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 163, 317, 718
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Given numbers are 704, 252, 166, 418
The greatest common divisor of numbers 704, 252, 166, 418 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 252, 166, 418 is 2.

1. What is the GCD of 704, 252, 166, 418?

GCD of given numbers 704, 252, 166, 418 is 2

2. How to calculate the greatest common divisor of 704, 252, 166, 418?

We can find the highest common divisor of 704, 252, 166, 418 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 704, 252, 166, 418 i.e 2.

3. How can I use the GCD of 704, 252, 166, 418Calculator?

Out the numbers 704, 252, 166, 418 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.