GCD of 552, 686, 148, 990 Calculator

Given Input numbers are 552, 686, 148, 990

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

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

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 (552, 686, 148, 990) = 2.

Given numbers are 552, 686, 148, 990

The list of prime factors of all numbers are

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 148 are 2 x 2 x 37

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

The highest common occurrence is 2¹

Therefore, GCD of 552, 686, 148, 990 is 2.

Given numbers are 552, 686, 148, 990

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

Apply this formula for all numbers.

Step1:

LCM(552, 686) = 189336

GCD(552, 686) = ( 552 x 686 ) / 189336

= 552 / 686

= 552

Step2:

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

= 2 / 148

= 2

Step3:

LCM(2, 990) = 990

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

= 2 / 990

= 2

So, Greatest Common Divisor of 552, 686, 148, 990 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 459, 147, 573, 242
• GCD of 422, 389, 832, 192
• GCD of 278, 195, 716, 483
• GCD of 400, 127, 366, 344
• GCD of 946, 781, 866, 249

Given numbers are 552, 686, 148, 990
The greatest common divisor of numbers 552, 686, 148, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 686, 148, 990 is 2.

1. What is the GCD of 552, 686, 148, 990?

GCD of given numbers 552, 686, 148, 990 is 2

2. How to calculate the greatest common divisor of 552, 686, 148, 990?

We can find the highest common divisor of 552, 686, 148, 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 552, 686, 148, 990 i.e 2.

3. How can I use the GCD of 552, 686, 148, 990Calculator?

Out the numbers 552, 686, 148, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.