GCD of 398, 750, 466, 516 Calculator

Given Input numbers are 398, 750, 466, 516

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

GCD of numbers is the greatest common divisor

So, the GCD (398, 750, 466, 516) = 2.

Given numbers are 398, 750, 466, 516

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 466 are 2 x 233

Prime factors of 516 are 2 x 2 x 3 x 43

The highest common occurrence is 2¹

Therefore, GCD of 398, 750, 466, 516 is 2.

Given numbers are 398, 750, 466, 516

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

Apply this formula for all numbers.

Step1:

LCM(398, 750) = 149250

GCD(398, 750) = ( 398 x 750 ) / 149250

= 398 / 750

= 398

Step2:

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

= 2 / 466

= 2

Step3:

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

= 2 / 516

= 2

So, Greatest Common Divisor of 398, 750, 466, 516 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 921, 887, 608
• GCD of 120, 207, 739, 391
• GCD of 545, 329, 990, 302
• GCD of 890, 336, 988, 125
• GCD of 931, 323, 890, 721

Given numbers are 398, 750, 466, 516
The greatest common divisor of numbers 398, 750, 466, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 750, 466, 516 is 2.

1. What is the GCD of 398, 750, 466, 516?

GCD of given numbers 398, 750, 466, 516 is 2

2. How to calculate the greatest common divisor of 398, 750, 466, 516?

We can find the highest common divisor of 398, 750, 466, 516 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 398, 750, 466, 516 i.e 2.

3. How can I use the GCD of 398, 750, 466, 516Calculator?

Out the numbers 398, 750, 466, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.