GCD of 526, 154, 842, 778 Calculator

Given Input numbers are 526, 154, 842, 778

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

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 778

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

1, 2, 389, 778

Greatest Common Divisior

We found the divisors of 526, 154, 842, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 154, 842, 778 is 2.

Therefore, GCD of numbers 526, 154, 842, 778 is 2

Given Input Data is 526, 154, 842, 778

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

Prime Factorization of 526 is 2 x 263

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 842 is 2 x 421

Prime Factorization of 778 is 2 x 389

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(526, 154) = 40502

GCD(526, 154) = ( 526 x 154 ) / 40502

GCD(526, 154) = 81004 / 40502

GCD(526, 154) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 842

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

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

GCD(2, 842) = 1684 / 842

GCD(2, 842) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 778

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

LCM(2, 778) = 778

GCD(2, 778) = ( 2 x 778 ) / 778

GCD(2, 778) = 1556 / 778

GCD(2, 778) = 2

GCD of 526, 154, 842, 778 is 2

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1. What is the GCD of 526, 154, 842, 778?

GCD of 526, 154, 842, 778 is 2

2. Where do I get the detailed procedure to find GCD of 526, 154, 842, 778?

You can find a detailed procedure to find GCD of 526, 154, 842, 778 on our page.

3. How to find GCD of 526, 154, 842, 778 on a calculator?

You can find the GCD of 526, 154, 842, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.