GCD of 910, 438, 108, 749 Calculator

Given Input numbers are 910, 438, 108, 749

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

Divisors of 910 :

The positive integer divisors of 910 that completely divides 910 are.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 438 :

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

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 (910, 438, 108, 749) = 1.

Given numbers are 910, 438, 108, 749

The list of prime factors of all numbers are

Prime factors of 910 are 2 x 5 x 7 x 13

Prime factors of 438 are 2 x 3 x 73

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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 910, 438, 108, 749

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

Apply this formula for all numbers.

Step1:

LCM(910, 438) = 199290

GCD(910, 438) = ( 910 x 438 ) / 199290

= 910 / 438

= 910

Step2:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

Step3:

LCM(2, 749) = 1498

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

= 2 / 749

= 2

So, Greatest Common Divisor of 910, 438, 108, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 229, 440, 744, 559
• GCD of 382, 543, 957, 406
• GCD of 100, 327, 160, 601
• GCD of 871, 629, 622, 140
• GCD of 788, 522, 549, 893

Given numbers are 910, 438, 108, 749
The greatest common divisor of numbers 910, 438, 108, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 910, 438, 108, 749 is 1.

1. What is the GCD of 910, 438, 108, 749?

GCD of given numbers 910, 438, 108, 749 is 1

2. How to calculate the greatest common divisor of 910, 438, 108, 749?

We can find the highest common divisor of 910, 438, 108, 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 910, 438, 108, 749 i.e 1.

3. How can I use the GCD of 910, 438, 108, 749Calculator?

Out the numbers 910, 438, 108, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.