GCD of 538, 996, 749 Calculator

Given Input numbers are 538, 996, 749

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

Divisors of 538 :

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

1, 2, 269, 538

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 749 :

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

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (538, 996, 749) = 1.

Given numbers are 538, 996, 749

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 749 are 7 x 107

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

Given numbers are 538, 996, 749

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

Apply this formula for all numbers.

Step1:

LCM(538, 996) = 267924

GCD(538, 996) = ( 538 x 996 ) / 267924

= 538 / 996

= 538

Step2:

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

= 2 / 749

= 2

So, Greatest Common Divisor of 538, 996, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 927, 897, 309
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Given numbers are 538, 996, 749
The greatest common divisor of numbers 538, 996, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 996, 749 is 1.

1. What is the GCD of 538, 996, 749?

GCD of given numbers 538, 996, 749 is 1

2. How to calculate the greatest common divisor of 538, 996, 749?

We can find the highest common divisor of 538, 996, 749 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 538, 996, 749 i.e 1.

3. How can I use the GCD of 538, 996, 749Calculator?

Out the numbers 538, 996, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.