GCD of 725, 707, 648, 831 Calculator

Given Input numbers are 725, 707, 648, 831

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 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

GCD of numbers is the greatest common divisor

So, the GCD (725, 707, 648, 831) = 1.

Given numbers are 725, 707, 648, 831

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 707 are 7 x 101

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 831 are 3 x 277

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

Given numbers are 725, 707, 648, 831

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

Apply this formula for all numbers.

Step1:

LCM(725, 707) = 512575

GCD(725, 707) = ( 725 x 707 ) / 512575

= 725 / 707

= 725

Step2:

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

= 1 / 648

= 1

Step3:

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

= 1 / 831

= 1

So, Greatest Common Divisor of 725, 707, 648, 831 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 632, 129, 422
• GCD of 868, 786, 376, 782
• GCD of 935, 655, 598, 891
• GCD of 427, 829, 540, 997
• GCD of 756, 307, 714, 235

Given numbers are 725, 707, 648, 831
The greatest common divisor of numbers 725, 707, 648, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 707, 648, 831 is 1.

1. What is the GCD of 725, 707, 648, 831?

GCD of given numbers 725, 707, 648, 831 is 1

2. How to calculate the greatest common divisor of 725, 707, 648, 831?

We can find the highest common divisor of 725, 707, 648, 831 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, 707, 648, 831 i.e 1.

3. How can I use the GCD of 725, 707, 648, 831Calculator?

Out the numbers 725, 707, 648, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.