GCD of 704, 446, 692, 356 Calculator

Given Input numbers are 704, 446, 692, 356

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 704, 446, 692, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 446, 692, 356 is 2.

Therefore, GCD of numbers 704, 446, 692, 356 is 2

Given Input Data is 704, 446, 692, 356

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 446 is 2 x 223

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 356 is 2 x 2 x 89

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(704, 446) = 156992

GCD(704, 446) = ( 704 x 446 ) / 156992

GCD(704, 446) = 313984 / 156992

GCD(704, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 692

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

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

GCD(2, 692) = 1384 / 692

GCD(2, 692) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 356

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

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

GCD(2, 356) = 712 / 356

GCD(2, 356) = 2

GCD of 704, 446, 692, 356 is 2

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1. What is the GCD of 704, 446, 692, 356?

GCD of 704, 446, 692, 356 is 2

2. Where do I get the detailed procedure to find GCD of 704, 446, 692, 356?

You can find a detailed procedure to find GCD of 704, 446, 692, 356 on our page.

3. How to find GCD of 704, 446, 692, 356 on a calculator?

You can find the GCD of 704, 446, 692, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.