GCD of 208, 197, 112, 725 Calculator

Given Input numbers are 208, 197, 112, 725

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 197 :

The positive integer divisors of 197 that completely divides 197 are.

1, 197

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

GCD of numbers is the greatest common divisor

So, the GCD (208, 197, 112, 725) = 1.

Given numbers are 208, 197, 112, 725

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 197 are 197

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

Prime factors of 725 are 5 x 5 x 29

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

Given numbers are 208, 197, 112, 725

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

Apply this formula for all numbers.

Step1:

LCM(208, 197) = 40976

GCD(208, 197) = ( 208 x 197 ) / 40976

= 208 / 197

= 208

Step2:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

Step3:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1

So, Greatest Common Divisor of 208, 197, 112, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 408, 561, 673, 777
• GCD of 750, 802, 778, 763
• GCD of 704, 773, 808, 570
• GCD of 441, 734, 244, 407
• GCD of 376, 378, 150, 376

Given numbers are 208, 197, 112, 725
The greatest common divisor of numbers 208, 197, 112, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 197, 112, 725 is 1.

1. What is the GCD of 208, 197, 112, 725?

GCD of given numbers 208, 197, 112, 725 is 1

2. How to calculate the greatest common divisor of 208, 197, 112, 725?

We can find the highest common divisor of 208, 197, 112, 725 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 208, 197, 112, 725 i.e 1.

3. How can I use the GCD of 208, 197, 112, 725Calculator?

Out the numbers 208, 197, 112, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.