GCD of 675, 696, 360, 150 Calculator

Given Input numbers are 675, 696, 360, 150

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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

GCD of numbers is the greatest common divisor

So, the GCD (675, 696, 360, 150) = 3.

Given numbers are 675, 696, 360, 150

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

The highest common occurrence is 3¹

Therefore, GCD of 675, 696, 360, 150 is 3.

Given numbers are 675, 696, 360, 150

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

Apply this formula for all numbers.

Step1:

LCM(675, 696) = 156600

GCD(675, 696) = ( 675 x 696 ) / 156600

= 675 / 696

= 675

Step2:

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

= 3 / 360

= 3

Step3:

LCM(3, 150) = 150

GCD(3, 150) = ( 3 x 150 ) / 150

= 3 / 150

= 3

So, Greatest Common Divisor of 675, 696, 360, 150 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 556, 705, 762
• GCD of 872, 716, 718, 414
• GCD of 233, 676, 120, 593
• GCD of 495, 812, 162, 305
• GCD of 906, 335, 516, 998

Given numbers are 675, 696, 360, 150
The greatest common divisor of numbers 675, 696, 360, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 696, 360, 150 is 3.

1. What is the GCD of 675, 696, 360, 150?

GCD of given numbers 675, 696, 360, 150 is 3

2. How to calculate the greatest common divisor of 675, 696, 360, 150?

We can find the highest common divisor of 675, 696, 360, 150 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 675, 696, 360, 150 i.e 3.

3. How can I use the GCD of 675, 696, 360, 150Calculator?

Out the numbers 675, 696, 360, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.