GCD of 150, 160, 320, 914 Calculator

Given Input numbers are 150, 160, 320, 914

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

GCD of numbers is the greatest common divisor

So, the GCD (150, 160, 320, 914) = 2.

Given numbers are 150, 160, 320, 914

The list of prime factors of all numbers are

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

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 914 are 2 x 457

The highest common occurrence is 2¹

Therefore, GCD of 150, 160, 320, 914 is 2.

Given numbers are 150, 160, 320, 914

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

Apply this formula for all numbers.

Step1:

LCM(150, 160) = 2400

GCD(150, 160) = ( 150 x 160 ) / 2400

= 150 / 160

= 150

Step2:

LCM(10, 320) = 320

GCD(10, 320) = ( 10 x 320 ) / 320

= 10 / 320

= 10

Step3:

LCM(10, 914) = 4570

GCD(10, 914) = ( 10 x 914 ) / 4570

= 10 / 914

= 10

So, Greatest Common Divisor of 150, 160, 320, 914 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 605, 520, 782
• GCD of 547, 956, 214, 317
• GCD of 220, 383, 325, 631
• GCD of 174, 160, 382, 630
• GCD of 461, 254, 808, 449

Given numbers are 150, 160, 320, 914
The greatest common divisor of numbers 150, 160, 320, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 160, 320, 914 is 2.

1. What is the GCD of 150, 160, 320, 914?

GCD of given numbers 150, 160, 320, 914 is 2

2. How to calculate the greatest common divisor of 150, 160, 320, 914?

We can find the highest common divisor of 150, 160, 320, 914 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, 160, 320, 914 i.e 2.

3. How can I use the GCD of 150, 160, 320, 914Calculator?

Out the numbers 150, 160, 320, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.