GCD of 358, 882, 34, 776 Calculator

Given Input numbers are 358, 882, 34, 776

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

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Greatest Common Divisior

We found the divisors of 358, 882, 34, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 882, 34, 776 is 2.

Therefore, GCD of numbers 358, 882, 34, 776 is 2

Given Input Data is 358, 882, 34, 776

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 34 is 2 x 17

Prime Factorization of 776 is 2 x 2 x 2 x 97

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(358, 882) = 157878

GCD(358, 882) = ( 358 x 882 ) / 157878

GCD(358, 882) = 315756 / 157878

GCD(358, 882) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 776

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

LCM(2, 776) = 776

GCD(2, 776) = ( 2 x 776 ) / 776

GCD(2, 776) = 1552 / 776

GCD(2, 776) = 2

GCD of 358, 882, 34, 776 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 640, 277, 84, 255
• GCD of 902, 543, 71, 223
• GCD of 375, 928, 81, 476
• GCD of 153, 618, 29, 736
• GCD of 846, 923, 57, 749

1. What is the GCD of 358, 882, 34, 776?

GCD of 358, 882, 34, 776 is 2

2. Where do I get the detailed procedure to find GCD of 358, 882, 34, 776?

You can find a detailed procedure to find GCD of 358, 882, 34, 776 on our page.

3. How to find GCD of 358, 882, 34, 776 on a calculator?

You can find the GCD of 358, 882, 34, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.