GCD of 196, 949, 40, 160 Calculator

Given Input numbers are 196, 949, 40, 160

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

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 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 196, 949, 40, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 949, 40, 160 is 1.

Therefore, GCD of numbers 196, 949, 40, 160 is 1

Given Input Data is 196, 949, 40, 160

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

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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(196, 949) = 186004

GCD(196, 949) = ( 196 x 949 ) / 186004

GCD(196, 949) = 186004 / 186004

GCD(196, 949) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 196, 949, 40, 160 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 314, 67, 633
• GCD of 160, 230, 85, 485
• GCD of 539, 202, 25, 117
• GCD of 475, 825, 89, 142
• GCD of 533, 997, 91, 617

1. What is the GCD of 196, 949, 40, 160?

GCD of 196, 949, 40, 160 is 1

2. Where do I get the detailed procedure to find GCD of 196, 949, 40, 160?

You can find a detailed procedure to find GCD of 196, 949, 40, 160 on our page.

3. How to find GCD of 196, 949, 40, 160 on a calculator?

You can find the GCD of 196, 949, 40, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.