GCD of 470, 346, 724 Calculator

Given Input numbers are 470, 346, 724

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 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (470, 346, 724) = 2.

Given numbers are 470, 346, 724

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 346 are 2 x 173

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 470, 346, 724 is 2.

Given numbers are 470, 346, 724

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

Apply this formula for all numbers.

Step1:

LCM(470, 346) = 81310

GCD(470, 346) = ( 470 x 346 ) / 81310

= 470 / 346

= 470

Step2:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

So, Greatest Common Divisor of 470, 346, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 707, 874
• GCD of 569, 537, 268
• GCD of 230, 906, 232
• GCD of 768, 897, 840
• GCD of 556, 142, 565

Given numbers are 470, 346, 724
The greatest common divisor of numbers 470, 346, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 346, 724 is 2.

1. What is the GCD of 470, 346, 724?

GCD of given numbers 470, 346, 724 is 2

2. How to calculate the greatest common divisor of 470, 346, 724?

We can find the highest common divisor of 470, 346, 724 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, 346, 724 i.e 2.

3. How can I use the GCD of 470, 346, 724Calculator?

Out the numbers 470, 346, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.