GCD of 725, 343, 900, 993 Calculator

Given Input numbers are 725, 343, 900, 993

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 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

GCD of numbers is the greatest common divisor

So, the GCD (725, 343, 900, 993) = 1.

Given numbers are 725, 343, 900, 993

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 343 are 7 x 7 x 7

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 993 are 3 x 331

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

Given numbers are 725, 343, 900, 993

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

Apply this formula for all numbers.

Step1:

LCM(725, 343) = 248675

GCD(725, 343) = ( 725 x 343 ) / 248675

= 725 / 343

= 725

Step2:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

Step3:

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

= 1 / 993

= 1

So, Greatest Common Divisor of 725, 343, 900, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 654, 456, 732
• GCD of 163, 443, 240, 886
• GCD of 735, 250, 210, 849
• GCD of 531, 485, 183, 847
• GCD of 134, 982, 869, 460

Given numbers are 725, 343, 900, 993
The greatest common divisor of numbers 725, 343, 900, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 343, 900, 993 is 1.

1. What is the GCD of 725, 343, 900, 993?

GCD of given numbers 725, 343, 900, 993 is 1

2. How to calculate the greatest common divisor of 725, 343, 900, 993?

We can find the highest common divisor of 725, 343, 900, 993 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, 343, 900, 993 i.e 1.

3. How can I use the GCD of 725, 343, 900, 993Calculator?

Out the numbers 725, 343, 900, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.