GCD of 749, 697, 725, 538 Calculator

Given Input numbers are 749, 697, 725, 538

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 725 :

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

1, 5, 25, 29, 145, 725

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (749, 697, 725, 538) = 1.

Given numbers are 749, 697, 725, 538

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 697 are 17 x 41

Prime factors of 725 are 5 x 5 x 29

Prime factors of 538 are 2 x 269

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

Given numbers are 749, 697, 725, 538

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

Apply this formula for all numbers.

Step1:

LCM(749, 697) = 522053

GCD(749, 697) = ( 749 x 697 ) / 522053

= 749 / 697

= 749

Step2:

LCM(1, 725) = 725

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

= 1 / 725

= 1

Step3:

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

= 1 / 538

= 1

So, Greatest Common Divisor of 749, 697, 725, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 493, 521, 793
• GCD of 885, 806, 133, 333
• GCD of 957, 549, 198, 711
• GCD of 814, 937, 706, 326
• GCD of 958, 371, 212, 895

Given numbers are 749, 697, 725, 538
The greatest common divisor of numbers 749, 697, 725, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 697, 725, 538 is 1.

1. What is the GCD of 749, 697, 725, 538?

GCD of given numbers 749, 697, 725, 538 is 1

2. How to calculate the greatest common divisor of 749, 697, 725, 538?

We can find the highest common divisor of 749, 697, 725, 538 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 749, 697, 725, 538 i.e 1.

3. How can I use the GCD of 749, 697, 725, 538Calculator?

Out the numbers 749, 697, 725, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.