GCD of 802, 957, 198, 965 Calculator

Given Input numbers are 802, 957, 198, 965

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Greatest Common Divisior

We found the divisors of 802, 957, 198, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 957, 198, 965 is 1.

Therefore, GCD of numbers 802, 957, 198, 965 is 1

Given Input Data is 802, 957, 198, 965

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 965 is 5 x 193

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(802, 957) = 767514

GCD(802, 957) = ( 802 x 957 ) / 767514

GCD(802, 957) = 767514 / 767514

GCD(802, 957) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 965

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

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

GCD(1, 965) = 965 / 965

GCD(1, 965) = 1

GCD of 802, 957, 198, 965 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 324, 763, 138
• GCD of 112, 224, 653, 523
• GCD of 666, 783, 595, 239
• GCD of 303, 213, 249, 933
• GCD of 265, 957, 114, 877

1. What is the GCD of 802, 957, 198, 965?

GCD of 802, 957, 198, 965 is 1

2. Where do I get the detailed procedure to find GCD of 802, 957, 198, 965?

You can find a detailed procedure to find GCD of 802, 957, 198, 965 on our page.

3. How to find GCD of 802, 957, 198, 965 on a calculator?

You can find the GCD of 802, 957, 198, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.