GCD of 120, 196, 35, 517 Calculator

Given Input numbers are 120, 196, 35, 517

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 120, 196, 35, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 196, 35, 517 is 1.

Therefore, GCD of numbers 120, 196, 35, 517 is 1

Given Input Data is 120, 196, 35, 517

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 35 is 5 x 7

Prime Factorization of 517 is 11 x 47

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(120, 196) = 5880

GCD(120, 196) = ( 120 x 196 ) / 5880

GCD(120, 196) = 23520 / 5880

GCD(120, 196) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 35

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

LCM(4, 35) = 140

GCD(4, 35) = ( 4 x 35 ) / 140

GCD(4, 35) = 140 / 140

GCD(4, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 517

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

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

GCD(1, 517) = 517 / 517

GCD(1, 517) = 1

GCD of 120, 196, 35, 517 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 624, 36, 242
• GCD of 380, 795, 86, 446
• GCD of 153, 466, 22, 747
• GCD of 970, 411, 77, 593
• GCD of 951, 607, 64, 303

1. What is the GCD of 120, 196, 35, 517?

GCD of 120, 196, 35, 517 is 1

2. Where do I get the detailed procedure to find GCD of 120, 196, 35, 517?

You can find a detailed procedure to find GCD of 120, 196, 35, 517 on our page.

3. How to find GCD of 120, 196, 35, 517 on a calculator?

You can find the GCD of 120, 196, 35, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.