GCD of 109, 100, 776, 457 Calculator

Given Input numbers are 109, 100, 776, 457

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 776

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

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 109, 100, 776, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 100, 776, 457 is 1.

Therefore, GCD of numbers 109, 100, 776, 457 is 1

Given Input Data is 109, 100, 776, 457

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

Prime Factorization of 109 is 109

Prime Factorization of 100 is 2 x 2 x 5 x 5

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

Prime Factorization of 457 is 457

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(109, 100) = 10900

GCD(109, 100) = ( 109 x 100 ) / 10900

GCD(109, 100) = 10900 / 10900

GCD(109, 100) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 109, 100, 776, 457 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 292, 277, 449
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• GCD of 128, 801, 218, 535
• GCD of 992, 345, 248, 418
• GCD of 930, 117, 557, 732

1. What is the GCD of 109, 100, 776, 457?

GCD of 109, 100, 776, 457 is 1

2. Where do I get the detailed procedure to find GCD of 109, 100, 776, 457?

You can find a detailed procedure to find GCD of 109, 100, 776, 457 on our page.

3. How to find GCD of 109, 100, 776, 457 on a calculator?

You can find the GCD of 109, 100, 776, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.