GCD of 742, 749, 770, 216 Calculator

Given Input numbers are 742, 749, 770, 216

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 742, 749, 770, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 749, 770, 216 is 1.

Therefore, GCD of numbers 742, 749, 770, 216 is 1

Given Input Data is 742, 749, 770, 216

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 749 is 7 x 107

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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(742, 749) = 79394

GCD(742, 749) = ( 742 x 749 ) / 79394

GCD(742, 749) = 555758 / 79394

GCD(742, 749) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 770

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

LCM(7, 770) = 770

GCD(7, 770) = ( 7 x 770 ) / 770

GCD(7, 770) = 5390 / 770

GCD(7, 770) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 216

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

LCM(7, 216) = 1512

GCD(7, 216) = ( 7 x 216 ) / 1512

GCD(7, 216) = 1512 / 1512

GCD(7, 216) = 1

GCD of 742, 749, 770, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 761, 738, 682
• GCD of 544, 194, 748, 222
• GCD of 254, 319, 477, 902
• GCD of 298, 273, 863, 505
• GCD of 277, 557, 269, 245

1. What is the GCD of 742, 749, 770, 216?

GCD of 742, 749, 770, 216 is 1

2. Where do I get the detailed procedure to find GCD of 742, 749, 770, 216?

You can find a detailed procedure to find GCD of 742, 749, 770, 216 on our page.

3. How to find GCD of 742, 749, 770, 216 on a calculator?

You can find the GCD of 742, 749, 770, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.