GCD of 802, 309, 713, 224 Calculator

Given Input numbers are 802, 309, 713, 224

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (802, 309, 713, 224) = 1.

Given numbers are 802, 309, 713, 224

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 309 are 3 x 103

Prime factors of 713 are 23 x 31

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Given numbers are 802, 309, 713, 224

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

Apply this formula for all numbers.

Step1:

LCM(802, 309) = 247818

GCD(802, 309) = ( 802 x 309 ) / 247818

= 802 / 309

= 802

Step2:

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

= 1 / 713

= 1

Step3:

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

= 1 / 224

= 1

So, Greatest Common Divisor of 802, 309, 713, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 789, 476, 464
• GCD of 396, 280, 434, 108
• GCD of 147, 292, 618, 867
• GCD of 946, 805, 308, 439
• GCD of 635, 388, 638, 311

Given numbers are 802, 309, 713, 224
The greatest common divisor of numbers 802, 309, 713, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 309, 713, 224 is 1.

1. What is the GCD of 802, 309, 713, 224?

GCD of given numbers 802, 309, 713, 224 is 1

2. How to calculate the greatest common divisor of 802, 309, 713, 224?

We can find the highest common divisor of 802, 309, 713, 224 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 802, 309, 713, 224 i.e 1.

3. How can I use the GCD of 802, 309, 713, 224Calculator?

Out the numbers 802, 309, 713, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.