GCD of 349, 199, 725, 972 Calculator

Given Input numbers are 349, 199, 725, 972

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

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (349, 199, 725, 972) = 1.

Given numbers are 349, 199, 725, 972

The list of prime factors of all numbers are

Prime factors of 349 are 349

Prime factors of 199 are 199

Prime factors of 725 are 5 x 5 x 29

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 349, 199, 725, 972

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

Apply this formula for all numbers.

Step1:

LCM(349, 199) = 69451

GCD(349, 199) = ( 349 x 199 ) / 69451

= 349 / 199

= 349

Step2:

LCM(1, 725) = 725

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

= 1 / 725

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 349, 199, 725, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 952, 189, 620
• GCD of 655, 269, 948, 914
• GCD of 711, 884, 396, 164
• GCD of 925, 152, 479, 551
• GCD of 915, 455, 848, 375

Given numbers are 349, 199, 725, 972
The greatest common divisor of numbers 349, 199, 725, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 349, 199, 725, 972 is 1.

1. What is the GCD of 349, 199, 725, 972?

GCD of given numbers 349, 199, 725, 972 is 1

2. How to calculate the greatest common divisor of 349, 199, 725, 972?

We can find the highest common divisor of 349, 199, 725, 972 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 349, 199, 725, 972 i.e 1.

3. How can I use the GCD of 349, 199, 725, 972Calculator?

Out the numbers 349, 199, 725, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.