GCD of 442, 448, 725, 988 Calculator

Given Input numbers are 442, 448, 725, 988

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

GCD of numbers is the greatest common divisor

So, the GCD (442, 448, 725, 988) = 1.

Given numbers are 442, 448, 725, 988

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 725 are 5 x 5 x 29

Prime factors of 988 are 2 x 2 x 13 x 19

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

Given numbers are 442, 448, 725, 988

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

Apply this formula for all numbers.

Step1:

LCM(442, 448) = 99008

GCD(442, 448) = ( 442 x 448 ) / 99008

= 442 / 448

= 442

Step2:

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

= 2 / 725

= 2

Step3:

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

= 1 / 988

= 1

So, Greatest Common Divisor of 442, 448, 725, 988 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 673, 342, 866, 773
• GCD of 706, 710, 804, 163
• GCD of 321, 127, 861, 782
• GCD of 745, 180, 516, 725
• GCD of 784, 459, 725, 305

Given numbers are 442, 448, 725, 988
The greatest common divisor of numbers 442, 448, 725, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 448, 725, 988 is 1.

1. What is the GCD of 442, 448, 725, 988?

GCD of given numbers 442, 448, 725, 988 is 1

2. How to calculate the greatest common divisor of 442, 448, 725, 988?

We can find the highest common divisor of 442, 448, 725, 988 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 442, 448, 725, 988 i.e 1.

3. How can I use the GCD of 442, 448, 725, 988Calculator?

Out the numbers 442, 448, 725, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.