GCD of 707, 896, 37, 746 Calculator

Given Input numbers are 707, 896, 37, 746

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

Divisors of 707

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

1, 7, 101, 707

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 707, 896, 37, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 896, 37, 746 is 1.

Therefore, GCD of numbers 707, 896, 37, 746 is 1

Given Input Data is 707, 896, 37, 746

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 37 is 37

Prime Factorization of 746 is 2 x 373

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(707, 896) = 90496

GCD(707, 896) = ( 707 x 896 ) / 90496

GCD(707, 896) = 633472 / 90496

GCD(707, 896) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 37

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

LCM(7, 37) = 259

GCD(7, 37) = ( 7 x 37 ) / 259

GCD(7, 37) = 259 / 259

GCD(7, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 707, 896, 37, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 841, 211, 30, 308
• GCD of 419, 850, 91, 806
• GCD of 254, 843, 18, 635
• GCD of 310, 882, 18, 881
• GCD of 294, 594, 38, 780

1. What is the GCD of 707, 896, 37, 746?

GCD of 707, 896, 37, 746 is 1

2. Where do I get the detailed procedure to find GCD of 707, 896, 37, 746?

You can find a detailed procedure to find GCD of 707, 896, 37, 746 on our page.

3. How to find GCD of 707, 896, 37, 746 on a calculator?

You can find the GCD of 707, 896, 37, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.