GCD of 698, 505, 556, 134 Calculator

Given Input numbers are 698, 505, 556, 134

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 698, 505, 556, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 505, 556, 134 is 1.

Therefore, GCD of numbers 698, 505, 556, 134 is 1

Given Input Data is 698, 505, 556, 134

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 505 is 5 x 101

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 134 is 2 x 67

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(698, 505) = 352490

GCD(698, 505) = ( 698 x 505 ) / 352490

GCD(698, 505) = 352490 / 352490

GCD(698, 505) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

GCD of 698, 505, 556, 134 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 907, 608, 510
• GCD of 367, 518, 973, 763
• GCD of 866, 363, 497, 787
• GCD of 837, 841, 330, 921
• GCD of 553, 107, 290, 831

1. What is the GCD of 698, 505, 556, 134?

GCD of 698, 505, 556, 134 is 1

2. Where do I get the detailed procedure to find GCD of 698, 505, 556, 134?

You can find a detailed procedure to find GCD of 698, 505, 556, 134 on our page.

3. How to find GCD of 698, 505, 556, 134 on a calculator?

You can find the GCD of 698, 505, 556, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.