GCD of 968, 252, 990, 814 Calculator

Given Input numbers are 968, 252, 990, 814

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

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 (968, 252, 990, 814) = 2.

Given numbers are 968, 252, 990, 814

The list of prime factors of all numbers are

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 2¹

Therefore, GCD of 968, 252, 990, 814 is 2.

Given numbers are 968, 252, 990, 814

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

Apply this formula for all numbers.

Step1:

LCM(968, 252) = 60984

GCD(968, 252) = ( 968 x 252 ) / 60984

= 968 / 252

= 968

Step2:

LCM(4, 990) = 1980

GCD(4, 990) = ( 4 x 990 ) / 1980

= 4 / 990

= 4

Step3:

LCM(2, 814) = 814

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

= 2 / 814

= 2

So, Greatest Common Divisor of 968, 252, 990, 814 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 126, 543, 764
• GCD of 772, 130, 541, 663
• GCD of 965, 761, 601, 710
• GCD of 487, 801, 680, 458
• GCD of 837, 488, 546, 372

Given numbers are 968, 252, 990, 814
The greatest common divisor of numbers 968, 252, 990, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 252, 990, 814 is 2.

1. What is the GCD of 968, 252, 990, 814?

GCD of given numbers 968, 252, 990, 814 is 2

2. How to calculate the greatest common divisor of 968, 252, 990, 814?

We can find the highest common divisor of 968, 252, 990, 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 968, 252, 990, 814 i.e 2.

3. How can I use the GCD of 968, 252, 990, 814Calculator?

Out the numbers 968, 252, 990, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.