GCD of 355, 680, 24, 105 Calculator

Given Input numbers are 355, 680, 24, 105

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

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 (355, 680, 24, 105) = 1.

Given numbers are 355, 680, 24, 105

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 355, 680, 24, 105

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

Apply this formula for all numbers.

Step1:

LCM(355, 680) = 48280

GCD(355, 680) = ( 355 x 680 ) / 48280

= 355 / 680

= 355

Step2:

LCM(5, 24) = 120

GCD(5, 24) = ( 5 x 24 ) / 120

= 5 / 24

= 5

Step3:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

So, Greatest Common Divisor of 355, 680, 24, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 144, 66, 657
• GCD of 563, 238, 29, 356
• GCD of 618, 133, 53, 857
• GCD of 409, 381, 57, 173
• GCD of 917, 539, 14, 967

Given numbers are 355, 680, 24, 105
The greatest common divisor of numbers 355, 680, 24, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 680, 24, 105 is 1.

1. What is the GCD of 355, 680, 24, 105?

GCD of given numbers 355, 680, 24, 105 is 1

2. How to calculate the greatest common divisor of 355, 680, 24, 105?

We can find the highest common divisor of 355, 680, 24, 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 355, 680, 24, 105 i.e 1.

3. How can I use the GCD of 355, 680, 24, 105Calculator?

Out the numbers 355, 680, 24, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.