GCD of 240, 150, 966, 699 Calculator

Given Input numbers are 240, 150, 966, 699

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

GCD of numbers is the greatest common divisor

So, the GCD (240, 150, 966, 699) = 3.

Given numbers are 240, 150, 966, 699

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 699 are 3 x 233

The highest common occurrence is 3¹

Therefore, GCD of 240, 150, 966, 699 is 3.

Given numbers are 240, 150, 966, 699

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

Apply this formula for all numbers.

Step1:

LCM(240, 150) = 1200

GCD(240, 150) = ( 240 x 150 ) / 1200

= 240 / 150

= 240

Step2:

LCM(30, 966) = 4830

GCD(30, 966) = ( 30 x 966 ) / 4830

= 30 / 966

= 30

Step3:

LCM(6, 699) = 1398

GCD(6, 699) = ( 6 x 699 ) / 1398

= 6 / 699

= 6

So, Greatest Common Divisor of 240, 150, 966, 699 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 681, 330, 236
• GCD of 605, 611, 400, 491
• GCD of 995, 565, 864, 459
• GCD of 966, 335, 365, 810
• GCD of 880, 530, 599, 996

Given numbers are 240, 150, 966, 699
The greatest common divisor of numbers 240, 150, 966, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 150, 966, 699 is 3.

1. What is the GCD of 240, 150, 966, 699?

GCD of given numbers 240, 150, 966, 699 is 3

2. How to calculate the greatest common divisor of 240, 150, 966, 699?

We can find the highest common divisor of 240, 150, 966, 699 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 240, 150, 966, 699 i.e 3.

3. How can I use the GCD of 240, 150, 966, 699Calculator?

Out the numbers 240, 150, 966, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.