GCD of 105, 684, 298, 445 Calculator

Given Input numbers are 105, 684, 298, 445

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 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 445 :

The positive integer divisors of 445 that completely divides 445 are.

1, 5, 89, 445

GCD of numbers is the greatest common divisor

So, the GCD (105, 684, 298, 445) = 1.

Given numbers are 105, 684, 298, 445

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 298 are 2 x 149

Prime factors of 445 are 5 x 89

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 105, 684, 298, 445

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

Apply this formula for all numbers.

Step1:

LCM(105, 684) = 23940

GCD(105, 684) = ( 105 x 684 ) / 23940

= 105 / 684

= 105

Step2:

LCM(3, 298) = 894

GCD(3, 298) = ( 3 x 298 ) / 894

= 3 / 298

= 3

Step3:

LCM(1, 445) = 445

GCD(1, 445) = ( 1 x 445 ) / 445

= 1 / 445

= 1

So, Greatest Common Divisor of 105, 684, 298, 445 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 371, 110, 759
• GCD of 907, 356, 652, 704
• GCD of 420, 759, 664, 495
• GCD of 979, 189, 227, 881
• GCD of 141, 859, 893, 778

Given numbers are 105, 684, 298, 445
The greatest common divisor of numbers 105, 684, 298, 445 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 684, 298, 445 is 1.

1. What is the GCD of 105, 684, 298, 445?

GCD of given numbers 105, 684, 298, 445 is 1

2. How to calculate the greatest common divisor of 105, 684, 298, 445?

We can find the highest common divisor of 105, 684, 298, 445 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, 684, 298, 445 i.e 1.

3. How can I use the GCD of 105, 684, 298, 445Calculator?

Out the numbers 105, 684, 298, 445 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.