GCD of 849, 168, 747, 981 Calculator

Given Input numbers are 849, 168, 747, 981

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 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

GCD of numbers is the greatest common divisor

So, the GCD (849, 168, 747, 981) = 3.

Given numbers are 849, 168, 747, 981

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 747 are 3 x 3 x 83

Prime factors of 981 are 3 x 3 x 109

The highest common occurrence is 3¹

Therefore, GCD of 849, 168, 747, 981 is 3.

Given numbers are 849, 168, 747, 981

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

Apply this formula for all numbers.

Step1:

LCM(849, 168) = 47544

GCD(849, 168) = ( 849 x 168 ) / 47544

= 849 / 168

= 849

Step2:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3

Step3:

LCM(3, 981) = 981

GCD(3, 981) = ( 3 x 981 ) / 981

= 3 / 981

= 3

So, Greatest Common Divisor of 849, 168, 747, 981 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 629, 698, 499, 780
• GCD of 129, 862, 565, 524
• GCD of 895, 341, 795, 767
• GCD of 416, 369, 169, 936
• GCD of 139, 524, 404, 302

Given numbers are 849, 168, 747, 981
The greatest common divisor of numbers 849, 168, 747, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 168, 747, 981 is 3.

1. What is the GCD of 849, 168, 747, 981?

GCD of given numbers 849, 168, 747, 981 is 3

2. How to calculate the greatest common divisor of 849, 168, 747, 981?

We can find the highest common divisor of 849, 168, 747, 981 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, 168, 747, 981 i.e 3.

3. How can I use the GCD of 849, 168, 747, 981Calculator?

Out the numbers 849, 168, 747, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.