GCD of 464, 520, 100 Calculator

Given Input numbers are 464, 520, 100

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

Divisors of 464 :

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

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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 (464, 520, 100) = 4.

Given numbers are 464, 520, 100

The list of prime factors of all numbers are

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

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

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

The highest common occurrence is 2²

Therefore, GCD of 464, 520, 100 is 4.

Given numbers are 464, 520, 100

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

Apply this formula for all numbers.

Step1:

LCM(464, 520) = 30160

GCD(464, 520) = ( 464 x 520 ) / 30160

= 464 / 520

= 464

Step2:

LCM(8, 100) = 200

GCD(8, 100) = ( 8 x 100 ) / 200

= 8 / 100

= 8

So, Greatest Common Divisor of 464, 520, 100 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 851, 578
• GCD of 695, 621, 334
• GCD of 630, 435, 884
• GCD of 259, 872, 499
• GCD of 661, 321, 293

Given numbers are 464, 520, 100
The greatest common divisor of numbers 464, 520, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 520, 100 is 4.

1. What is the GCD of 464, 520, 100?

GCD of given numbers 464, 520, 100 is 4

2. How to calculate the greatest common divisor of 464, 520, 100?

We can find the highest common divisor of 464, 520, 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 464, 520, 100 i.e 4.

3. How can I use the GCD of 464, 520, 100Calculator?

Out the numbers 464, 520, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.