GCD of 454, 968, 838, 707 Calculator

Given Input numbers are 454, 968, 838, 707

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

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 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 454, 968, 838, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 968, 838, 707 is 1.

Therefore, GCD of numbers 454, 968, 838, 707 is 1

Given Input Data is 454, 968, 838, 707

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

Prime Factorization of 454 is 2 x 227

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 707 is 7 x 101

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(454, 968) = 219736

GCD(454, 968) = ( 454 x 968 ) / 219736

GCD(454, 968) = 439472 / 219736

GCD(454, 968) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 838

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

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

GCD(2, 838) = 1676 / 838

GCD(2, 838) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 707

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

LCM(2, 707) = 1414

GCD(2, 707) = ( 2 x 707 ) / 1414

GCD(2, 707) = 1414 / 1414

GCD(2, 707) = 1

GCD of 454, 968, 838, 707 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 974, 884, 245
• GCD of 271, 913, 447, 119
• GCD of 979, 648, 484, 809
• GCD of 321, 475, 955, 160
• GCD of 656, 743, 280, 900

1. What is the GCD of 454, 968, 838, 707?

GCD of 454, 968, 838, 707 is 1

2. Where do I get the detailed procedure to find GCD of 454, 968, 838, 707?

You can find a detailed procedure to find GCD of 454, 968, 838, 707 on our page.

3. How to find GCD of 454, 968, 838, 707 on a calculator?

You can find the GCD of 454, 968, 838, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.