GCD of 145, 916, 528, 100 Calculator

Given Input numbers are 145, 916, 528, 100

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

Greatest Common Divisior

We found the divisors of 145, 916, 528, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 916, 528, 100 is 1.

Therefore, GCD of numbers 145, 916, 528, 100 is 1

Given Input Data is 145, 916, 528, 100

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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

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(145, 916) = 132820

GCD(145, 916) = ( 145 x 916 ) / 132820

GCD(145, 916) = 132820 / 132820

GCD(145, 916) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 145, 916, 528, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 136, 398, 405
• GCD of 778, 479, 799, 287
• GCD of 736, 948, 337, 226
• GCD of 490, 738, 988, 524
• GCD of 792, 760, 694, 498

1. What is the GCD of 145, 916, 528, 100?

GCD of 145, 916, 528, 100 is 1

2. Where do I get the detailed procedure to find GCD of 145, 916, 528, 100?

You can find a detailed procedure to find GCD of 145, 916, 528, 100 on our page.

3. How to find GCD of 145, 916, 528, 100 on a calculator?

You can find the GCD of 145, 916, 528, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.