GCD of 105, 287, 168 Calculator

Given Input numbers are 105, 287, 168

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 287 :

The positive integer divisors of 287 that completely divides 287 are.

1, 7, 41, 287

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

GCD of numbers is the greatest common divisor

So, the GCD (105, 287, 168) = 7.

Given numbers are 105, 287, 168

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 287 are 7 x 41

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

The highest common occurrence is 7¹

Therefore, GCD of 105, 287, 168 is 7.

Given numbers are 105, 287, 168

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

Apply this formula for all numbers.

Step1:

LCM(105, 287) = 4305

GCD(105, 287) = ( 105 x 287 ) / 4305

= 105 / 287

= 105

Step2:

LCM(7, 168) = 168

GCD(7, 168) = ( 7 x 168 ) / 168

= 7 / 168

= 7

So, Greatest Common Divisor of 105, 287, 168 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 639, 531
• GCD of 764, 279, 385
• GCD of 529, 253, 110
• GCD of 169, 231, 974
• GCD of 502, 624, 731

Given numbers are 105, 287, 168
The greatest common divisor of numbers 105, 287, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 287, 168 is 7.

1. What is the GCD of 105, 287, 168?

GCD of given numbers 105, 287, 168 is 7

2. How to calculate the greatest common divisor of 105, 287, 168?

We can find the highest common divisor of 105, 287, 168 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 105, 287, 168 i.e 7.

3. How can I use the GCD of 105, 287, 168Calculator?

Out the numbers 105, 287, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.