GCD of 348, 286, 508, 990 Calculator

Given Input numbers are 348, 286, 508, 990

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

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

GCD of numbers is the greatest common divisor

So, the GCD (348, 286, 508, 990) = 2.

Given numbers are 348, 286, 508, 990

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 286 are 2 x 11 x 13

Prime factors of 508 are 2 x 2 x 127

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

The highest common occurrence is 2¹

Therefore, GCD of 348, 286, 508, 990 is 2.

Given numbers are 348, 286, 508, 990

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

Apply this formula for all numbers.

Step1:

LCM(348, 286) = 49764

GCD(348, 286) = ( 348 x 286 ) / 49764

= 348 / 286

= 348

Step2:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

Step3:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2

So, Greatest Common Divisor of 348, 286, 508, 990 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 693, 178, 291
• GCD of 284, 763, 941, 112
• GCD of 166, 309, 971, 676
• GCD of 925, 603, 315, 391
• GCD of 437, 988, 959, 614

Given numbers are 348, 286, 508, 990
The greatest common divisor of numbers 348, 286, 508, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 286, 508, 990 is 2.

1. What is the GCD of 348, 286, 508, 990?

GCD of given numbers 348, 286, 508, 990 is 2

2. How to calculate the greatest common divisor of 348, 286, 508, 990?

We can find the highest common divisor of 348, 286, 508, 990 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 348, 286, 508, 990 i.e 2.

3. How can I use the GCD of 348, 286, 508, 990Calculator?

Out the numbers 348, 286, 508, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.