GCD of 484, 291, 457, 100 Calculator

Given Input numbers are 484, 291, 457, 100

In the factoring method, we have to find the divisors of all numbers

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 457 :

The positive integer divisors of 457 that completely divides 457 are.

1, 457

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (484, 291, 457, 100) = 1.

Given numbers are 484, 291, 457, 100

The list of prime factors of all numbers are

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 291 are 3 x 97

Prime factors of 457 are 457

Prime factors of 100 are 2 x 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 484, 291, 457, 100

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(484, 291) = 140844

GCD(484, 291) = ( 484 x 291 ) / 140844

= 484 / 291

= 484

Step2:

LCM(1, 457) = 457

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

= 1 / 457

= 1

Step3:

LCM(1, 100) = 100

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

= 1 / 100

= 1

So, Greatest Common Divisor of 484, 291, 457, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 122, 448, 835
• GCD of 746, 180, 303, 118
• GCD of 967, 873, 779, 689
• GCD of 418, 752, 627, 846
• GCD of 689, 348, 777, 335

Given numbers are 484, 291, 457, 100
The greatest common divisor of numbers 484, 291, 457, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 291, 457, 100 is 1.

1. What is the GCD of 484, 291, 457, 100?

GCD of given numbers 484, 291, 457, 100 is 1

2. How to calculate the greatest common divisor of 484, 291, 457, 100?

We can find the highest common divisor of 484, 291, 457, 100 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 484, 291, 457, 100 i.e 1.

3. How can I use the GCD of 484, 291, 457, 100Calculator?

Out the numbers 484, 291, 457, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.