GCD of 69, 334, 778, 352 Calculator

Given Input numbers are 69, 334, 778, 352

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

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

Greatest Common Divisior

We found the divisors of 69, 334, 778, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 334, 778, 352 is 1.

Therefore, GCD of numbers 69, 334, 778, 352 is 1

Given Input Data is 69, 334, 778, 352

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 334 is 2 x 167

Prime Factorization of 778 is 2 x 389

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

The above numbers do not have any common prime factor. So GCD is 1

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(69, 334) = 23046

GCD(69, 334) = ( 69 x 334 ) / 23046

GCD(69, 334) = 23046 / 23046

GCD(69, 334) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 778

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

LCM(1, 778) = 778

GCD(1, 778) = ( 1 x 778 ) / 778

GCD(1, 778) = 778 / 778

GCD(1, 778) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 69, 334, 778, 352 is 1

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1. What is the GCD of 69, 334, 778, 352?

GCD of 69, 334, 778, 352 is 1

2. Where do I get the detailed procedure to find GCD of 69, 334, 778, 352?

You can find a detailed procedure to find GCD of 69, 334, 778, 352 on our page.

3. How to find GCD of 69, 334, 778, 352 on a calculator?

You can find the GCD of 69, 334, 778, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.