GCD of 150, 260, 198, 758 Calculator

Given Input numbers are 150, 260, 198, 758

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

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 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

GCD of numbers is the greatest common divisor

So, the GCD (150, 260, 198, 758) = 2.

Given numbers are 150, 260, 198, 758

The list of prime factors of all numbers are

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

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 758 are 2 x 379

The highest common occurrence is 2¹

Therefore, GCD of 150, 260, 198, 758 is 2.

Given numbers are 150, 260, 198, 758

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

Apply this formula for all numbers.

Step1:

LCM(150, 260) = 3900

GCD(150, 260) = ( 150 x 260 ) / 3900

= 150 / 260

= 150

Step2:

LCM(10, 198) = 990

GCD(10, 198) = ( 10 x 198 ) / 990

= 10 / 198

= 10

Step3:

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

= 2 / 758

= 2

So, Greatest Common Divisor of 150, 260, 198, 758 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 127, 911, 747, 261
• GCD of 271, 888, 239, 276
• GCD of 628, 940, 764, 689
• GCD of 699, 434, 856, 935
• GCD of 902, 134, 585, 337

Given numbers are 150, 260, 198, 758
The greatest common divisor of numbers 150, 260, 198, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 260, 198, 758 is 2.

1. What is the GCD of 150, 260, 198, 758?

GCD of given numbers 150, 260, 198, 758 is 2

2. How to calculate the greatest common divisor of 150, 260, 198, 758?

We can find the highest common divisor of 150, 260, 198, 758 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 150, 260, 198, 758 i.e 2.

3. How can I use the GCD of 150, 260, 198, 758Calculator?

Out the numbers 150, 260, 198, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.