GCD of 725, 649, 884, 428 Calculator

Given Input numbers are 725, 649, 884, 428

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 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (725, 649, 884, 428) = 1.

Given numbers are 725, 649, 884, 428

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 649 are 11 x 59

Prime factors of 884 are 2 x 2 x 13 x 17

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 725, 649, 884, 428

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

Apply this formula for all numbers.

Step1:

LCM(725, 649) = 470525

GCD(725, 649) = ( 725 x 649 ) / 470525

= 725 / 649

= 725

Step2:

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

= 1 / 884

= 1

Step3:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

So, Greatest Common Divisor of 725, 649, 884, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 150, 830, 112
• GCD of 702, 183, 188, 113
• GCD of 890, 902, 763, 578
• GCD of 966, 689, 569, 409
• GCD of 367, 326, 908, 303

Given numbers are 725, 649, 884, 428
The greatest common divisor of numbers 725, 649, 884, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 649, 884, 428 is 1.

1. What is the GCD of 725, 649, 884, 428?

GCD of given numbers 725, 649, 884, 428 is 1

2. How to calculate the greatest common divisor of 725, 649, 884, 428?

We can find the highest common divisor of 725, 649, 884, 428 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, 649, 884, 428 i.e 1.

3. How can I use the GCD of 725, 649, 884, 428Calculator?

Out the numbers 725, 649, 884, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.