GCD of 821, 767, 219, 154 Calculator

Given Input numbers are 821, 767, 219, 154

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 219

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

1, 3, 73, 219

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 821, 767, 219, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 767, 219, 154 is 1.

Therefore, GCD of numbers 821, 767, 219, 154 is 1

Given Input Data is 821, 767, 219, 154

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

Prime Factorization of 821 is 821

Prime Factorization of 767 is 13 x 59

Prime Factorization of 219 is 3 x 73

Prime Factorization of 154 is 2 x 7 x 11

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(821, 767) = 629707

GCD(821, 767) = ( 821 x 767 ) / 629707

GCD(821, 767) = 629707 / 629707

GCD(821, 767) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 219

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

LCM(1, 219) = 219

GCD(1, 219) = ( 1 x 219 ) / 219

GCD(1, 219) = 219 / 219

GCD(1, 219) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 821, 767, 219, 154 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 688, 336, 732
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• GCD of 564, 719, 320, 368

1. What is the GCD of 821, 767, 219, 154?

GCD of 821, 767, 219, 154 is 1

2. Where do I get the detailed procedure to find GCD of 821, 767, 219, 154?

You can find a detailed procedure to find GCD of 821, 767, 219, 154 on our page.

3. How to find GCD of 821, 767, 219, 154 on a calculator?

You can find the GCD of 821, 767, 219, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.