GCD of 105, 721, 796, 280 Calculator

Given Input numbers are 105, 721, 796, 280

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 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (105, 721, 796, 280) = 1.

Given numbers are 105, 721, 796, 280

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 721 are 7 x 103

Prime factors of 796 are 2 x 2 x 199

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

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

Given numbers are 105, 721, 796, 280

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

Apply this formula for all numbers.

Step1:

LCM(105, 721) = 10815

GCD(105, 721) = ( 105 x 721 ) / 10815

= 105 / 721

= 105

Step2:

LCM(7, 796) = 5572

GCD(7, 796) = ( 7 x 796 ) / 5572

= 7 / 796

= 7

Step3:

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

= 1 / 280

= 1

So, Greatest Common Divisor of 105, 721, 796, 280 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 258, 149, 767
• GCD of 806, 216, 824, 639
• GCD of 868, 772, 996, 421
• GCD of 947, 283, 606, 402
• GCD of 941, 618, 327, 967

Given numbers are 105, 721, 796, 280
The greatest common divisor of numbers 105, 721, 796, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 721, 796, 280 is 1.

1. What is the GCD of 105, 721, 796, 280?

GCD of given numbers 105, 721, 796, 280 is 1

2. How to calculate the greatest common divisor of 105, 721, 796, 280?

We can find the highest common divisor of 105, 721, 796, 280 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, 721, 796, 280 i.e 1.

3. How can I use the GCD of 105, 721, 796, 280Calculator?

Out the numbers 105, 721, 796, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.