GCD of 725, 494, 307, 338 Calculator

Given Input numbers are 725, 494, 307, 338

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

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (725, 494, 307, 338) = 1.

Given numbers are 725, 494, 307, 338

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

Prime factors of 494 are 2 x 13 x 19

Prime factors of 307 are 307

Prime factors of 338 are 2 x 13 x 13

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

Given numbers are 725, 494, 307, 338

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

Apply this formula for all numbers.

Step1:

LCM(725, 494) = 358150

GCD(725, 494) = ( 725 x 494 ) / 358150

= 725 / 494

= 725

Step2:

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

= 1 / 307

= 1

Step3:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

So, Greatest Common Divisor of 725, 494, 307, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 338, 137, 654
• GCD of 980, 460, 993, 724
• GCD of 664, 684, 624, 968
• GCD of 237, 667, 995, 450
• GCD of 831, 912, 911, 700

Given numbers are 725, 494, 307, 338
The greatest common divisor of numbers 725, 494, 307, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 494, 307, 338 is 1.

1. What is the GCD of 725, 494, 307, 338?

GCD of given numbers 725, 494, 307, 338 is 1

2. How to calculate the greatest common divisor of 725, 494, 307, 338?

We can find the highest common divisor of 725, 494, 307, 338 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 725, 494, 307, 338 i.e 1.

3. How can I use the GCD of 725, 494, 307, 338Calculator?

Out the numbers 725, 494, 307, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.