GCD of 470, 680, 456 Calculator

Given Input numbers are 470, 680, 456

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (470, 680, 456) = 2.

Given numbers are 470, 680, 456

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 470, 680, 456 is 2.

Given numbers are 470, 680, 456

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

Apply this formula for all numbers.

Step1:

LCM(470, 680) = 31960

GCD(470, 680) = ( 470 x 680 ) / 31960

= 470 / 680

= 470

Step2:

LCM(10, 456) = 2280

GCD(10, 456) = ( 10 x 456 ) / 2280

= 10 / 456

= 10

So, Greatest Common Divisor of 470, 680, 456 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 926, 462
• GCD of 158, 446, 895
• GCD of 769, 229, 844
• GCD of 176, 757, 645
• GCD of 653, 512, 945

Given numbers are 470, 680, 456
The greatest common divisor of numbers 470, 680, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 680, 456 is 2.

1. What is the GCD of 470, 680, 456?

GCD of given numbers 470, 680, 456 is 2

2. How to calculate the greatest common divisor of 470, 680, 456?

We can find the highest common divisor of 470, 680, 456 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 470, 680, 456 i.e 2.

3. How can I use the GCD of 470, 680, 456Calculator?

Out the numbers 470, 680, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.