GCD of 424, 470, 668, 310 Calculator

Given Input numbers are 424, 470, 668, 310

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 470 :

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

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

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (424, 470, 668, 310) = 2.

Given numbers are 424, 470, 668, 310

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 470 are 2 x 5 x 47

Prime factors of 668 are 2 x 2 x 167

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 424, 470, 668, 310 is 2.

Given numbers are 424, 470, 668, 310

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

Apply this formula for all numbers.

Step1:

LCM(424, 470) = 99640

GCD(424, 470) = ( 424 x 470 ) / 99640

= 424 / 470

= 424

Step2:

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

= 2 / 668

= 2

Step3:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

So, Greatest Common Divisor of 424, 470, 668, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 364, 984, 932
• GCD of 708, 971, 889, 273
• GCD of 815, 890, 166, 481
• GCD of 331, 383, 332, 532
• GCD of 881, 797, 152, 368

Given numbers are 424, 470, 668, 310
The greatest common divisor of numbers 424, 470, 668, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 470, 668, 310 is 2.

1. What is the GCD of 424, 470, 668, 310?

GCD of given numbers 424, 470, 668, 310 is 2

2. How to calculate the greatest common divisor of 424, 470, 668, 310?

We can find the highest common divisor of 424, 470, 668, 310 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 424, 470, 668, 310 i.e 2.

3. How can I use the GCD of 424, 470, 668, 310Calculator?

Out the numbers 424, 470, 668, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.