GCD of 725, 475, 744, 882 Calculator

Given Input numbers are 725, 475, 744, 882

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 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (725, 475, 744, 882) = 1.

Given numbers are 725, 475, 744, 882

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 475 are 5 x 5 x 19

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

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

Given numbers are 725, 475, 744, 882

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

Apply this formula for all numbers.

Step1:

LCM(725, 475) = 13775

GCD(725, 475) = ( 725 x 475 ) / 13775

= 725 / 475

= 725

Step2:

LCM(25, 744) = 18600

GCD(25, 744) = ( 25 x 744 ) / 18600

= 25 / 744

= 25

Step3:

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

= 1 / 882

= 1

So, Greatest Common Divisor of 725, 475, 744, 882 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 148, 224, 537
• GCD of 537, 438, 196, 113
• GCD of 509, 576, 844, 605
• GCD of 404, 565, 360, 878
• GCD of 127, 371, 964, 131

Given numbers are 725, 475, 744, 882
The greatest common divisor of numbers 725, 475, 744, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 475, 744, 882 is 1.

1. What is the GCD of 725, 475, 744, 882?

GCD of given numbers 725, 475, 744, 882 is 1

2. How to calculate the greatest common divisor of 725, 475, 744, 882?

We can find the highest common divisor of 725, 475, 744, 882 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, 475, 744, 882 i.e 1.

3. How can I use the GCD of 725, 475, 744, 882Calculator?

Out the numbers 725, 475, 744, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.