GCD of 478, 998, 614, 300 Calculator

Given Input numbers are 478, 998, 614, 300

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

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (478, 998, 614, 300) = 2.

Given numbers are 478, 998, 614, 300

The list of prime factors of all numbers are

Prime factors of 478 are 2 x 239

Prime factors of 998 are 2 x 499

Prime factors of 614 are 2 x 307

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 478, 998, 614, 300 is 2.

Given numbers are 478, 998, 614, 300

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

Apply this formula for all numbers.

Step1:

LCM(478, 998) = 238522

GCD(478, 998) = ( 478 x 998 ) / 238522

= 478 / 998

= 478

Step2:

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

= 2 / 614

= 2

Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

So, Greatest Common Divisor of 478, 998, 614, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 632, 860, 414
• GCD of 554, 635, 594, 250
• GCD of 659, 616, 738, 227
• GCD of 690, 511, 274, 239
• GCD of 364, 174, 268, 892

Given numbers are 478, 998, 614, 300
The greatest common divisor of numbers 478, 998, 614, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 998, 614, 300 is 2.

1. What is the GCD of 478, 998, 614, 300?

GCD of given numbers 478, 998, 614, 300 is 2

2. How to calculate the greatest common divisor of 478, 998, 614, 300?

We can find the highest common divisor of 478, 998, 614, 300 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 478, 998, 614, 300 i.e 2.

3. How can I use the GCD of 478, 998, 614, 300Calculator?

Out the numbers 478, 998, 614, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.