GCD of 725, 683, 584, 996 Calculator

Given Input numbers are 725, 683, 584, 996

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

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 683 :

The positive integer divisors of 683 that completely divides 683 are.

1, 683

Divisors of 584 :

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

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (725, 683, 584, 996) = 1.

Given numbers are 725, 683, 584, 996

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 683 are 683

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

Prime factors of 996 are 2 x 2 x 3 x 83

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

Given numbers are 725, 683, 584, 996

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

Apply this formula for all numbers.

Step1:

LCM(725, 683) = 495175

GCD(725, 683) = ( 725 x 683 ) / 495175

= 725 / 683

= 725

Step2:

LCM(1, 584) = 584

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

= 1 / 584

= 1

Step3:

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

= 1 / 996

= 1

So, Greatest Common Divisor of 725, 683, 584, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 746, 779, 649
• GCD of 149, 299, 267, 694
• GCD of 896, 460, 924, 398
• GCD of 696, 593, 893, 840
• GCD of 487, 251, 312, 366

Given numbers are 725, 683, 584, 996
The greatest common divisor of numbers 725, 683, 584, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 683, 584, 996 is 1.

1. What is the GCD of 725, 683, 584, 996?

GCD of given numbers 725, 683, 584, 996 is 1

2. How to calculate the greatest common divisor of 725, 683, 584, 996?

We can find the highest common divisor of 725, 683, 584, 996 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 725, 683, 584, 996 i.e 1.

3. How can I use the GCD of 725, 683, 584, 996Calculator?

Out the numbers 725, 683, 584, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.