GCD of 105, 392, 725, 224 Calculator

Given Input numbers are 105, 392, 725, 224

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (105, 392, 725, 224) = 1.

Given numbers are 105, 392, 725, 224

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 725 are 5 x 5 x 29

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Given numbers are 105, 392, 725, 224

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

Apply this formula for all numbers.

Step1:

LCM(105, 392) = 5880

GCD(105, 392) = ( 105 x 392 ) / 5880

= 105 / 392

= 105

Step2:

LCM(7, 725) = 5075

GCD(7, 725) = ( 7 x 725 ) / 5075

= 7 / 725

= 7

Step3:

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

= 1 / 224

= 1

So, Greatest Common Divisor of 105, 392, 725, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 695, 308, 608, 753
• GCD of 143, 281, 955, 239
• GCD of 608, 303, 251, 624
• GCD of 470, 324, 968, 902
• GCD of 145, 157, 999, 395

Given numbers are 105, 392, 725, 224
The greatest common divisor of numbers 105, 392, 725, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 392, 725, 224 is 1.

1. What is the GCD of 105, 392, 725, 224?

GCD of given numbers 105, 392, 725, 224 is 1

2. How to calculate the greatest common divisor of 105, 392, 725, 224?

We can find the highest common divisor of 105, 392, 725, 224 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 105, 392, 725, 224 i.e 1.

3. How can I use the GCD of 105, 392, 725, 224Calculator?

Out the numbers 105, 392, 725, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.