GCD of 112, 610, 748, 330 Calculator

Given Input numbers are 112, 610, 748, 330

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

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

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

GCD of numbers is the greatest common divisor

So, the GCD (112, 610, 748, 330) = 2.

Given numbers are 112, 610, 748, 330

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 610 are 2 x 5 x 61

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

Prime factors of 330 are 2 x 3 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 112, 610, 748, 330 is 2.

Given numbers are 112, 610, 748, 330

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

Apply this formula for all numbers.

Step1:

LCM(112, 610) = 34160

GCD(112, 610) = ( 112 x 610 ) / 34160

= 112 / 610

= 112

Step2:

LCM(2, 748) = 748

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

= 2 / 748

= 2

Step3:

LCM(2, 330) = 330

GCD(2, 330) = ( 2 x 330 ) / 330

= 2 / 330

= 2

So, Greatest Common Divisor of 112, 610, 748, 330 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 657, 382, 786
• GCD of 200, 867, 162, 357
• GCD of 410, 929, 224, 507
• GCD of 634, 516, 388, 745
• GCD of 976, 711, 887, 552

Given numbers are 112, 610, 748, 330
The greatest common divisor of numbers 112, 610, 748, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 610, 748, 330 is 2.

1. What is the GCD of 112, 610, 748, 330?

GCD of given numbers 112, 610, 748, 330 is 2

2. How to calculate the greatest common divisor of 112, 610, 748, 330?

We can find the highest common divisor of 112, 610, 748, 330 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 112, 610, 748, 330 i.e 2.

3. How can I use the GCD of 112, 610, 748, 330Calculator?

Out the numbers 112, 610, 748, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.