GCD of 106, 148, 150, 890 Calculator

Given Input numbers are 106, 148, 150, 890

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 148 :

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

1, 2, 4, 37, 74, 148

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

GCD of numbers is the greatest common divisor

So, the GCD (106, 148, 150, 890) = 2.

Given numbers are 106, 148, 150, 890

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 148 are 2 x 2 x 37

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 890 are 2 x 5 x 89

The highest common occurrence is 2¹

Therefore, GCD of 106, 148, 150, 890 is 2.

Given numbers are 106, 148, 150, 890

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

Apply this formula for all numbers.

Step1:

LCM(106, 148) = 7844

GCD(106, 148) = ( 106 x 148 ) / 7844

= 106 / 148

= 106

Step2:

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

= 2 / 150

= 2

Step3:

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

= 2 / 890

= 2

So, Greatest Common Divisor of 106, 148, 150, 890 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 933, 541, 211
• GCD of 699, 642, 892, 270
• GCD of 100, 902, 264, 162
• GCD of 530, 177, 371, 387
• GCD of 784, 992, 366, 142

Given numbers are 106, 148, 150, 890
The greatest common divisor of numbers 106, 148, 150, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 148, 150, 890 is 2.

1. What is the GCD of 106, 148, 150, 890?

GCD of given numbers 106, 148, 150, 890 is 2

2. How to calculate the greatest common divisor of 106, 148, 150, 890?

We can find the highest common divisor of 106, 148, 150, 890 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 106, 148, 150, 890 i.e 2.

3. How can I use the GCD of 106, 148, 150, 890Calculator?

Out the numbers 106, 148, 150, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.