GCD of 526, 952, 655, 688 Calculator

Given Input numbers are 526, 952, 655, 688

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 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 526, 952, 655, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 952, 655, 688 is 1.

Therefore, GCD of numbers 526, 952, 655, 688 is 1

Given Input Data is 526, 952, 655, 688

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

Prime Factorization of 526 is 2 x 263

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 655 is 5 x 131

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(526, 952) = 250376

GCD(526, 952) = ( 526 x 952 ) / 250376

GCD(526, 952) = 500752 / 250376

GCD(526, 952) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 655

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

LCM(2, 655) = 1310

GCD(2, 655) = ( 2 x 655 ) / 1310

GCD(2, 655) = 1310 / 1310

GCD(2, 655) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 526, 952, 655, 688 is 1

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1. What is the GCD of 526, 952, 655, 688?

GCD of 526, 952, 655, 688 is 1

2. Where do I get the detailed procedure to find GCD of 526, 952, 655, 688?

You can find a detailed procedure to find GCD of 526, 952, 655, 688 on our page.

3. How to find GCD of 526, 952, 655, 688 on a calculator?

You can find the GCD of 526, 952, 655, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.