GCD of 315, 735, 689, 196 Calculator

Given Input numbers are 315, 735, 689, 196

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

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

Greatest Common Divisior

We found the divisors of 315, 735, 689, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 735, 689, 196 is 1.

Therefore, GCD of numbers 315, 735, 689, 196 is 1

Given Input Data is 315, 735, 689, 196

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 689 is 13 x 53

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

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(315, 735) = 2205

GCD(315, 735) = ( 315 x 735 ) / 2205

GCD(315, 735) = 231525 / 2205

GCD(315, 735) = 105

Step2:

Here we consider the GCD from the above i.e. 105 as first number and the next as 689

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

LCM(105, 689) = 72345

GCD(105, 689) = ( 105 x 689 ) / 72345

GCD(105, 689) = 72345 / 72345

GCD(105, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

GCD of 315, 735, 689, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 253, 944, 234
• GCD of 903, 132, 108, 265
• GCD of 718, 817, 390, 110
• GCD of 823, 110, 426, 349
• GCD of 965, 569, 713, 743

1. What is the GCD of 315, 735, 689, 196?

GCD of 315, 735, 689, 196 is 1

2. Where do I get the detailed procedure to find GCD of 315, 735, 689, 196?

You can find a detailed procedure to find GCD of 315, 735, 689, 196 on our page.

3. How to find GCD of 315, 735, 689, 196 on a calculator?

You can find the GCD of 315, 735, 689, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.