GCD of 474, 298, 303, 321 Calculator

Given Input numbers are 474, 298, 303, 321

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

GCD of numbers is the greatest common divisor

So, the GCD (474, 298, 303, 321) = 1.

Given numbers are 474, 298, 303, 321

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 298 are 2 x 149

Prime factors of 303 are 3 x 101

Prime factors of 321 are 3 x 107

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

Given numbers are 474, 298, 303, 321

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

Apply this formula for all numbers.

Step1:

LCM(474, 298) = 70626

GCD(474, 298) = ( 474 x 298 ) / 70626

= 474 / 298

= 474

Step2:

LCM(2, 303) = 606

GCD(2, 303) = ( 2 x 303 ) / 606

= 2 / 303

= 2

Step3:

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

= 1 / 321

= 1

So, Greatest Common Divisor of 474, 298, 303, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 230, 194, 817
• GCD of 336, 822, 661, 218
• GCD of 539, 457, 749, 651
• GCD of 763, 920, 482, 132
• GCD of 902, 797, 583, 941

Given numbers are 474, 298, 303, 321
The greatest common divisor of numbers 474, 298, 303, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 298, 303, 321 is 1.

1. What is the GCD of 474, 298, 303, 321?

GCD of given numbers 474, 298, 303, 321 is 1

2. How to calculate the greatest common divisor of 474, 298, 303, 321?

We can find the highest common divisor of 474, 298, 303, 321 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 474, 298, 303, 321 i.e 1.

3. How can I use the GCD of 474, 298, 303, 321Calculator?

Out the numbers 474, 298, 303, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.