GCD of 440, 112, 725, 298 Calculator

Given Input numbers are 440, 112, 725, 298

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

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

GCD of numbers is the greatest common divisor

So, the GCD (440, 112, 725, 298) = 1.

Given numbers are 440, 112, 725, 298

The list of prime factors of all numbers are

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 725 are 5 x 5 x 29

Prime factors of 298 are 2 x 149

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

Given numbers are 440, 112, 725, 298

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

Apply this formula for all numbers.

Step1:

LCM(440, 112) = 6160

GCD(440, 112) = ( 440 x 112 ) / 6160

= 440 / 112

= 440

Step2:

LCM(8, 725) = 5800

GCD(8, 725) = ( 8 x 725 ) / 5800

= 8 / 725

= 8

Step3:

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

= 1 / 298

= 1

So, Greatest Common Divisor of 440, 112, 725, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 410, 826, 474
• GCD of 976, 200, 201, 248
• GCD of 777, 355, 351, 356
• GCD of 965, 804, 849, 963
• GCD of 541, 354, 286, 253

Given numbers are 440, 112, 725, 298
The greatest common divisor of numbers 440, 112, 725, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 112, 725, 298 is 1.

1. What is the GCD of 440, 112, 725, 298?

GCD of given numbers 440, 112, 725, 298 is 1

2. How to calculate the greatest common divisor of 440, 112, 725, 298?

We can find the highest common divisor of 440, 112, 725, 298 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 440, 112, 725, 298 i.e 1.

3. How can I use the GCD of 440, 112, 725, 298Calculator?

Out the numbers 440, 112, 725, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.