GCD of 470, 313, 821, 342 Calculator

Given Input numbers are 470, 313, 821, 342

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 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (470, 313, 821, 342) = 1.

Given numbers are 470, 313, 821, 342

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 313 are 313

Prime factors of 821 are 821

Prime factors of 342 are 2 x 3 x 3 x 19

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 470, 313, 821, 342

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

Apply this formula for all numbers.

Step1:

LCM(470, 313) = 147110

GCD(470, 313) = ( 470 x 313 ) / 147110

= 470 / 313

= 470

Step2:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1

Step3:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1

So, Greatest Common Divisor of 470, 313, 821, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 458, 662, 103
• GCD of 299, 672, 368, 439
• GCD of 327, 963, 692, 380
• GCD of 413, 994, 660, 479
• GCD of 230, 459, 969, 648

Given numbers are 470, 313, 821, 342
The greatest common divisor of numbers 470, 313, 821, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 313, 821, 342 is 1.

1. What is the GCD of 470, 313, 821, 342?

GCD of given numbers 470, 313, 821, 342 is 1

2. How to calculate the greatest common divisor of 470, 313, 821, 342?

We can find the highest common divisor of 470, 313, 821, 342 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, 313, 821, 342 i.e 1.

3. How can I use the GCD of 470, 313, 821, 342Calculator?

Out the numbers 470, 313, 821, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.