GCD of 105, 315, 702, 986 Calculator

Given Input numbers are 105, 315, 702, 986

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

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 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 105, 315, 702, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 315, 702, 986 is 1.

Therefore, GCD of numbers 105, 315, 702, 986 is 1

Given Input Data is 105, 315, 702, 986

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

Prime Factorization of 105 is 3 x 5 x 7

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 986 is 2 x 17 x 29

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(105, 315) = 315

GCD(105, 315) = ( 105 x 315 ) / 315

GCD(105, 315) = 33075 / 315

GCD(105, 315) = 105

Step2:

Here we consider the GCD from the above i.e. 105 as first number and the next as 702

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

LCM(105, 702) = 24570

GCD(105, 702) = ( 105 x 702 ) / 24570

GCD(105, 702) = 73710 / 24570

GCD(105, 702) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 986

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

LCM(3, 986) = 2958

GCD(3, 986) = ( 3 x 986 ) / 2958

GCD(3, 986) = 2958 / 2958

GCD(3, 986) = 1

GCD of 105, 315, 702, 986 is 1

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• GCD of 974, 955, 411, 773
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1. What is the GCD of 105, 315, 702, 986?

GCD of 105, 315, 702, 986 is 1

2. Where do I get the detailed procedure to find GCD of 105, 315, 702, 986?

You can find a detailed procedure to find GCD of 105, 315, 702, 986 on our page.

3. How to find GCD of 105, 315, 702, 986 on a calculator?

You can find the GCD of 105, 315, 702, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.