GCD of 175, 242, 98, 553 Calculator

Given Input numbers are 175, 242, 98, 553

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

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 175, 242, 98, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 242, 98, 553 is 1.

Therefore, GCD of numbers 175, 242, 98, 553 is 1

Given Input Data is 175, 242, 98, 553

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

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 553 is 7 x 79

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(175, 242) = 42350

GCD(175, 242) = ( 175 x 242 ) / 42350

GCD(175, 242) = 42350 / 42350

GCD(175, 242) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 175, 242, 98, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 453, 70, 372
• GCD of 349, 812, 97, 400
• GCD of 775, 376, 20, 950
• GCD of 165, 659, 68, 462
• GCD of 280, 482, 68, 623

1. What is the GCD of 175, 242, 98, 553?

GCD of 175, 242, 98, 553 is 1

2. Where do I get the detailed procedure to find GCD of 175, 242, 98, 553?

You can find a detailed procedure to find GCD of 175, 242, 98, 553 on our page.

3. How to find GCD of 175, 242, 98, 553 on a calculator?

You can find the GCD of 175, 242, 98, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.