GCD of 708, 147, 374, 995 Calculator

Given Input numbers are 708, 147, 374, 995

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Greatest Common Divisior

We found the divisors of 708, 147, 374, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 147, 374, 995 is 1.

Therefore, GCD of numbers 708, 147, 374, 995 is 1

Given Input Data is 708, 147, 374, 995

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 995 is 5 x 199

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(708, 147) = 34692

GCD(708, 147) = ( 708 x 147 ) / 34692

GCD(708, 147) = 104076 / 34692

GCD(708, 147) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 374

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

LCM(3, 374) = 1122

GCD(3, 374) = ( 3 x 374 ) / 1122

GCD(3, 374) = 1122 / 1122

GCD(3, 374) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 995

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

LCM(1, 995) = 995

GCD(1, 995) = ( 1 x 995 ) / 995

GCD(1, 995) = 995 / 995

GCD(1, 995) = 1

GCD of 708, 147, 374, 995 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 311, 127, 148, 438
• GCD of 649, 448, 844, 974
• GCD of 183, 842, 301, 226
• GCD of 436, 353, 314, 890
• GCD of 723, 705, 971, 291

1. What is the GCD of 708, 147, 374, 995?

GCD of 708, 147, 374, 995 is 1

2. Where do I get the detailed procedure to find GCD of 708, 147, 374, 995?

You can find a detailed procedure to find GCD of 708, 147, 374, 995 on our page.

3. How to find GCD of 708, 147, 374, 995 on a calculator?

You can find the GCD of 708, 147, 374, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.