GCD of 731, 425, 614, 438 Calculator

Given Input numbers are 731, 425, 614, 438

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

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (731, 425, 614, 438) = 1.

Given numbers are 731, 425, 614, 438

The list of prime factors of all numbers are

Prime factors of 731 are 17 x 43

Prime factors of 425 are 5 x 5 x 17

Prime factors of 614 are 2 x 307

Prime factors of 438 are 2 x 3 x 73

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

Given numbers are 731, 425, 614, 438

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

Apply this formula for all numbers.

Step1:

LCM(731, 425) = 18275

GCD(731, 425) = ( 731 x 425 ) / 18275

= 731 / 425

= 731

Step2:

LCM(17, 614) = 10438

GCD(17, 614) = ( 17 x 614 ) / 10438

= 17 / 614

= 17

Step3:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

So, Greatest Common Divisor of 731, 425, 614, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 857, 708, 962
• GCD of 560, 486, 366, 614
• GCD of 852, 783, 783, 663
• GCD of 215, 777, 296, 356
• GCD of 506, 314, 863, 791

Given numbers are 731, 425, 614, 438
The greatest common divisor of numbers 731, 425, 614, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 731, 425, 614, 438 is 1.

1. What is the GCD of 731, 425, 614, 438?

GCD of given numbers 731, 425, 614, 438 is 1

2. How to calculate the greatest common divisor of 731, 425, 614, 438?

We can find the highest common divisor of 731, 425, 614, 438 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 731, 425, 614, 438 i.e 1.

3. How can I use the GCD of 731, 425, 614, 438Calculator?

Out the numbers 731, 425, 614, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.