GCD of 849, 150, 807, 969 Calculator

Given Input numbers are 849, 150, 807, 969

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

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 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

GCD of numbers is the greatest common divisor

So, the GCD (849, 150, 807, 969) = 3.

Given numbers are 849, 150, 807, 969

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

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

Prime factors of 807 are 3 x 269

Prime factors of 969 are 3 x 17 x 19

The highest common occurrence is 3¹

Therefore, GCD of 849, 150, 807, 969 is 3.

Given numbers are 849, 150, 807, 969

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

Apply this formula for all numbers.

Step1:

LCM(849, 150) = 42450

GCD(849, 150) = ( 849 x 150 ) / 42450

= 849 / 150

= 849

Step2:

LCM(3, 807) = 807

GCD(3, 807) = ( 3 x 807 ) / 807

= 3 / 807

= 3

Step3:

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

= 3 / 969

= 3

So, Greatest Common Divisor of 849, 150, 807, 969 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 409, 933, 261, 595
• GCD of 293, 116, 127, 125
• GCD of 776, 929, 371, 895
• GCD of 621, 272, 701, 731
• GCD of 578, 645, 234, 774

Given numbers are 849, 150, 807, 969
The greatest common divisor of numbers 849, 150, 807, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 150, 807, 969 is 3.

1. What is the GCD of 849, 150, 807, 969?

GCD of given numbers 849, 150, 807, 969 is 3

2. How to calculate the greatest common divisor of 849, 150, 807, 969?

We can find the highest common divisor of 849, 150, 807, 969 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 849, 150, 807, 969 i.e 3.

3. How can I use the GCD of 849, 150, 807, 969Calculator?

Out the numbers 849, 150, 807, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.