GCD of 731, 968, 849, 147 Calculator

Given Input numbers are 731, 968, 849, 147

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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 147

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

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 731, 968, 849, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 968, 849, 147 is 1.

Therefore, GCD of numbers 731, 968, 849, 147 is 1

Given Input Data is 731, 968, 849, 147

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 849 is 3 x 283

Prime Factorization of 147 is 3 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(731, 968) = 707608

GCD(731, 968) = ( 731 x 968 ) / 707608

GCD(731, 968) = 707608 / 707608

GCD(731, 968) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 731, 968, 849, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 777, 412, 612
• GCD of 988, 171, 348, 661
• GCD of 738, 697, 625, 758
• GCD of 901, 632, 145, 669
• GCD of 929, 716, 732, 547

1. What is the GCD of 731, 968, 849, 147?

GCD of 731, 968, 849, 147 is 1

2. Where do I get the detailed procedure to find GCD of 731, 968, 849, 147?

You can find a detailed procedure to find GCD of 731, 968, 849, 147 on our page.

3. How to find GCD of 731, 968, 849, 147 on a calculator?

You can find the GCD of 731, 968, 849, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.