GCD of 105, 153, 63 Calculator

Given Input numbers are 105, 153, 63

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 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 63 :

The positive integer divisors of 63 that completely divides 63 are.

1, 3, 7, 9, 21, 63

GCD of numbers is the greatest common divisor

So, the GCD (105, 153, 63) = 3.

Given numbers are 105, 153, 63

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 153 are 3 x 3 x 17

Prime factors of 63 are 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 105, 153, 63 is 3.

Given numbers are 105, 153, 63

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

Apply this formula for all numbers.

Step1:

LCM(105, 153) = 5355

GCD(105, 153) = ( 105 x 153 ) / 5355

= 105 / 153

= 105

Step2:

LCM(3, 63) = 63

GCD(3, 63) = ( 3 x 63 ) / 63

= 3 / 63

= 3

So, Greatest Common Divisor of 105, 153, 63 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 531, 33
• GCD of 814, 177, 93
• GCD of 160, 450, 50
• GCD of 770, 199, 58
• GCD of 254, 771, 54

Given numbers are 105, 153, 63
The greatest common divisor of numbers 105, 153, 63 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 153, 63 is 3.

1. What is the GCD of 105, 153, 63?

GCD of given numbers 105, 153, 63 is 3

2. How to calculate the greatest common divisor of 105, 153, 63?

We can find the highest common divisor of 105, 153, 63 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, 153, 63 i.e 3.

3. How can I use the GCD of 105, 153, 63Calculator?

Out the numbers 105, 153, 63 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.