GCD of 742, 221, 497, 776 Calculator

Given Input numbers are 742, 221, 497, 776

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 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Greatest Common Divisior

We found the divisors of 742, 221, 497, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 221, 497, 776 is 1.

Therefore, GCD of numbers 742, 221, 497, 776 is 1

Given Input Data is 742, 221, 497, 776

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 221 is 13 x 17

Prime Factorization of 497 is 7 x 71

Prime Factorization of 776 is 2 x 2 x 2 x 97

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, 221) = 163982

GCD(742, 221) = ( 742 x 221 ) / 163982

GCD(742, 221) = 163982 / 163982

GCD(742, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 776

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

LCM(1, 776) = 776

GCD(1, 776) = ( 1 x 776 ) / 776

GCD(1, 776) = 776 / 776

GCD(1, 776) = 1

GCD of 742, 221, 497, 776 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 229, 201, 957, 278
• GCD of 205, 274, 579, 747
• GCD of 327, 370, 691, 827
• GCD of 924, 421, 738, 498
• GCD of 118, 110, 424, 986

1. What is the GCD of 742, 221, 497, 776?

GCD of 742, 221, 497, 776 is 1

2. Where do I get the detailed procedure to find GCD of 742, 221, 497, 776?

You can find a detailed procedure to find GCD of 742, 221, 497, 776 on our page.

3. How to find GCD of 742, 221, 497, 776 on a calculator?

You can find the GCD of 742, 221, 497, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.