GCD of 126, 870, 990, 208 Calculator

Given Input numbers are 126, 870, 990, 208

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

GCD of numbers is the greatest common divisor

So, the GCD (126, 870, 990, 208) = 2.

Given numbers are 126, 870, 990, 208

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 870 are 2 x 3 x 5 x 29

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

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 126, 870, 990, 208 is 2.

Given numbers are 126, 870, 990, 208

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

Apply this formula for all numbers.

Step1:

LCM(126, 870) = 18270

GCD(126, 870) = ( 126 x 870 ) / 18270

= 126 / 870

= 126

Step2:

LCM(6, 990) = 990

GCD(6, 990) = ( 6 x 990 ) / 990

= 6 / 990

= 6

Step3:

LCM(6, 208) = 624

GCD(6, 208) = ( 6 x 208 ) / 624

= 6 / 208

= 6

So, Greatest Common Divisor of 126, 870, 990, 208 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 544, 355, 868
• GCD of 915, 392, 494, 651
• GCD of 922, 657, 246, 642
• GCD of 243, 862, 272, 194
• GCD of 422, 904, 602, 758

Given numbers are 126, 870, 990, 208
The greatest common divisor of numbers 126, 870, 990, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 870, 990, 208 is 2.

1. What is the GCD of 126, 870, 990, 208?

GCD of given numbers 126, 870, 990, 208 is 2

2. How to calculate the greatest common divisor of 126, 870, 990, 208?

We can find the highest common divisor of 126, 870, 990, 208 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 126, 870, 990, 208 i.e 2.

3. How can I use the GCD of 126, 870, 990, 208Calculator?

Out the numbers 126, 870, 990, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.