GCD of 538, 182, 614, 748 Calculator

Given Input numbers are 538, 182, 614, 748

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 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 614 :

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

1, 2, 307, 614

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (538, 182, 614, 748) = 2.

Given numbers are 538, 182, 614, 748

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 182 are 2 x 7 x 13

Prime factors of 614 are 2 x 307

Prime factors of 748 are 2 x 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 538, 182, 614, 748 is 2.

Given numbers are 538, 182, 614, 748

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

Apply this formula for all numbers.

Step1:

LCM(538, 182) = 48958

GCD(538, 182) = ( 538 x 182 ) / 48958

= 538 / 182

= 538

Step2:

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

= 2 / 614

= 2

Step3:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

So, Greatest Common Divisor of 538, 182, 614, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 785, 447, 410
• GCD of 231, 458, 130, 962
• GCD of 289, 282, 993, 113
• GCD of 262, 175, 185, 316
• GCD of 334, 371, 637, 901

Given numbers are 538, 182, 614, 748
The greatest common divisor of numbers 538, 182, 614, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 182, 614, 748 is 2.

1. What is the GCD of 538, 182, 614, 748?

GCD of given numbers 538, 182, 614, 748 is 2

2. How to calculate the greatest common divisor of 538, 182, 614, 748?

We can find the highest common divisor of 538, 182, 614, 748 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, 182, 614, 748 i.e 2.

3. How can I use the GCD of 538, 182, 614, 748Calculator?

Out the numbers 538, 182, 614, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.