GCD of 385, 791, 224, 523 Calculator

Given Input numbers are 385, 791, 224, 523

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

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

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

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

GCD of numbers is the greatest common divisor

So, the GCD (385, 791, 224, 523) = 1.

Given numbers are 385, 791, 224, 523

The list of prime factors of all numbers are

Prime factors of 385 are 5 x 7 x 11

Prime factors of 791 are 7 x 113

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

Prime factors of 523 are 523

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

Given numbers are 385, 791, 224, 523

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

Apply this formula for all numbers.

Step1:

LCM(385, 791) = 43505

GCD(385, 791) = ( 385 x 791 ) / 43505

= 385 / 791

= 385

Step2:

LCM(7, 224) = 224

GCD(7, 224) = ( 7 x 224 ) / 224

= 7 / 224

= 7

Step3:

LCM(7, 523) = 3661

GCD(7, 523) = ( 7 x 523 ) / 3661

= 7 / 523

= 7

So, Greatest Common Divisor of 385, 791, 224, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 949, 721, 256
• GCD of 320, 439, 824, 230
• GCD of 999, 482, 798, 866
• GCD of 136, 537, 978, 954
• GCD of 675, 896, 836, 279

Given numbers are 385, 791, 224, 523
The greatest common divisor of numbers 385, 791, 224, 523 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 791, 224, 523 is 1.

1. What is the GCD of 385, 791, 224, 523?

GCD of given numbers 385, 791, 224, 523 is 1

2. How to calculate the greatest common divisor of 385, 791, 224, 523?

We can find the highest common divisor of 385, 791, 224, 523 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 385, 791, 224, 523 i.e 1.

3. How can I use the GCD of 385, 791, 224, 523Calculator?

Out the numbers 385, 791, 224, 523 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.