GCD of 791, 198, 725, 584 Calculator

Given Input numbers are 791, 198, 725, 584

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

Divisors of 791 :

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

1, 7, 113, 791

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (791, 198, 725, 584) = 1.

Given numbers are 791, 198, 725, 584

The list of prime factors of all numbers are

Prime factors of 791 are 7 x 113

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 725 are 5 x 5 x 29

Prime factors of 584 are 2 x 2 x 2 x 73

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

Given numbers are 791, 198, 725, 584

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

Apply this formula for all numbers.

Step1:

LCM(791, 198) = 156618

GCD(791, 198) = ( 791 x 198 ) / 156618

= 791 / 198

= 791

Step2:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1

Step3:

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

= 1 / 584

= 1

So, Greatest Common Divisor of 791, 198, 725, 584 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 475, 176, 546
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• GCD of 793, 643, 780, 522

Given numbers are 791, 198, 725, 584
The greatest common divisor of numbers 791, 198, 725, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 791, 198, 725, 584 is 1.

1. What is the GCD of 791, 198, 725, 584?

GCD of given numbers 791, 198, 725, 584 is 1

2. How to calculate the greatest common divisor of 791, 198, 725, 584?

We can find the highest common divisor of 791, 198, 725, 584 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 791, 198, 725, 584 i.e 1.

3. How can I use the GCD of 791, 198, 725, 584Calculator?

Out the numbers 791, 198, 725, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.