GCD of 329, 245, 105 Calculator

Given Input numbers are 329, 245, 105

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

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

Divisors of 105 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (329, 245, 105) = 7.

Given numbers are 329, 245, 105

The list of prime factors of all numbers are

Prime factors of 329 are 7 x 47

Prime factors of 245 are 5 x 7 x 7

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 7¹

Therefore, GCD of 329, 245, 105 is 7.

Given numbers are 329, 245, 105

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

Apply this formula for all numbers.

Step1:

LCM(329, 245) = 11515

GCD(329, 245) = ( 329 x 245 ) / 11515

= 329 / 245

= 329

Step2:

LCM(7, 105) = 105

GCD(7, 105) = ( 7 x 105 ) / 105

= 7 / 105

= 7

So, Greatest Common Divisor of 329, 245, 105 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 201, 168
• GCD of 312, 366, 960
• GCD of 422, 665, 407
• GCD of 747, 226, 118
• GCD of 705, 282, 419

Given numbers are 329, 245, 105
The greatest common divisor of numbers 329, 245, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 329, 245, 105 is 7.

1. What is the GCD of 329, 245, 105?

GCD of given numbers 329, 245, 105 is 7

2. How to calculate the greatest common divisor of 329, 245, 105?

We can find the highest common divisor of 329, 245, 105 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 329, 245, 105 i.e 7.

3. How can I use the GCD of 329, 245, 105Calculator?

Out the numbers 329, 245, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.