GCD of 100, 284, 114, 464 Calculator

Given Input numbers are 100, 284, 114, 464

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

Divisors of 100 :

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

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

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (100, 284, 114, 464) = 2.

Given numbers are 100, 284, 114, 464

The list of prime factors of all numbers are

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

Prime factors of 284 are 2 x 2 x 71

Prime factors of 114 are 2 x 3 x 19

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 100, 284, 114, 464 is 2.

Given numbers are 100, 284, 114, 464

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

Apply this formula for all numbers.

Step1:

LCM(100, 284) = 7100

GCD(100, 284) = ( 100 x 284 ) / 7100

= 100 / 284

= 100

Step2:

LCM(4, 114) = 228

GCD(4, 114) = ( 4 x 114 ) / 228

= 4 / 114

= 4

Step3:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

So, Greatest Common Divisor of 100, 284, 114, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 445, 481, 165
• GCD of 797, 381, 118, 613
• GCD of 449, 523, 578, 610
• GCD of 416, 247, 971, 260
• GCD of 908, 998, 254, 693

Given numbers are 100, 284, 114, 464
The greatest common divisor of numbers 100, 284, 114, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 284, 114, 464 is 2.

1. What is the GCD of 100, 284, 114, 464?

GCD of given numbers 100, 284, 114, 464 is 2

2. How to calculate the greatest common divisor of 100, 284, 114, 464?

We can find the highest common divisor of 100, 284, 114, 464 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 100, 284, 114, 464 i.e 2.

3. How can I use the GCD of 100, 284, 114, 464Calculator?

Out the numbers 100, 284, 114, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.