GCD of 770, 504, 308, 219 Calculator

Given Input numbers are 770, 504, 308, 219

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

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 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 770, 504, 308, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 504, 308, 219 is 1.

Therefore, GCD of numbers 770, 504, 308, 219 is 1

Given Input Data is 770, 504, 308, 219

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

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 219 is 3 x 73

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(770, 504) = 27720

GCD(770, 504) = ( 770 x 504 ) / 27720

GCD(770, 504) = 388080 / 27720

GCD(770, 504) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 308

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

LCM(14, 308) = 308

GCD(14, 308) = ( 14 x 308 ) / 308

GCD(14, 308) = 4312 / 308

GCD(14, 308) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 219

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

LCM(14, 219) = 3066

GCD(14, 219) = ( 14 x 219 ) / 3066

GCD(14, 219) = 3066 / 3066

GCD(14, 219) = 1

GCD of 770, 504, 308, 219 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 803, 315, 693, 450
• GCD of 132, 211, 218, 801
• GCD of 224, 953, 765, 161
• GCD of 751, 743, 202, 229
• GCD of 318, 613, 231, 930

1. What is the GCD of 770, 504, 308, 219?

GCD of 770, 504, 308, 219 is 1

2. Where do I get the detailed procedure to find GCD of 770, 504, 308, 219?

You can find a detailed procedure to find GCD of 770, 504, 308, 219 on our page.

3. How to find GCD of 770, 504, 308, 219 on a calculator?

You can find the GCD of 770, 504, 308, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.