GCD of 982, 750, 332, 814 Calculator

Given Input numbers are 982, 750, 332, 814

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

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

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 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (982, 750, 332, 814) = 2.

Given numbers are 982, 750, 332, 814

The list of prime factors of all numbers are

Prime factors of 982 are 2 x 491

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

Prime factors of 332 are 2 x 2 x 83

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 2¹

Therefore, GCD of 982, 750, 332, 814 is 2.

Given numbers are 982, 750, 332, 814

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

Apply this formula for all numbers.

Step1:

LCM(982, 750) = 368250

GCD(982, 750) = ( 982 x 750 ) / 368250

= 982 / 750

= 982

Step2:

LCM(2, 332) = 332

GCD(2, 332) = ( 2 x 332 ) / 332

= 2 / 332

= 2

Step3:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

So, Greatest Common Divisor of 982, 750, 332, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 279, 560, 342
• GCD of 600, 726, 976, 789
• GCD of 199, 565, 959, 810
• GCD of 783, 248, 728, 654
• GCD of 695, 214, 945, 829

Given numbers are 982, 750, 332, 814
The greatest common divisor of numbers 982, 750, 332, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 982, 750, 332, 814 is 2.

1. What is the GCD of 982, 750, 332, 814?

GCD of given numbers 982, 750, 332, 814 is 2

2. How to calculate the greatest common divisor of 982, 750, 332, 814?

We can find the highest common divisor of 982, 750, 332, 814 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 982, 750, 332, 814 i.e 2.

3. How can I use the GCD of 982, 750, 332, 814Calculator?

Out the numbers 982, 750, 332, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.