GCD of 472, 930, 754, 108 Calculator

Given Input numbers are 472, 930, 754, 108

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

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

GCD of numbers is the greatest common divisor

So, the GCD (472, 930, 754, 108) = 2.

Given numbers are 472, 930, 754, 108

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 930 are 2 x 3 x 5 x 31

Prime factors of 754 are 2 x 13 x 29

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

The highest common occurrence is 2¹

Therefore, GCD of 472, 930, 754, 108 is 2.

Given numbers are 472, 930, 754, 108

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

Apply this formula for all numbers.

Step1:

LCM(472, 930) = 219480

GCD(472, 930) = ( 472 x 930 ) / 219480

= 472 / 930

= 472

Step2:

LCM(2, 754) = 754

GCD(2, 754) = ( 2 x 754 ) / 754

= 2 / 754

= 2

Step3:

LCM(2, 108) = 108

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

= 2 / 108

= 2

So, Greatest Common Divisor of 472, 930, 754, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 266, 533, 740
• GCD of 605, 546, 784, 159
• GCD of 250, 878, 813, 938
• GCD of 169, 672, 266, 859
• GCD of 989, 185, 987, 888

Given numbers are 472, 930, 754, 108
The greatest common divisor of numbers 472, 930, 754, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 930, 754, 108 is 2.

1. What is the GCD of 472, 930, 754, 108?

GCD of given numbers 472, 930, 754, 108 is 2

2. How to calculate the greatest common divisor of 472, 930, 754, 108?

We can find the highest common divisor of 472, 930, 754, 108 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 472, 930, 754, 108 i.e 2.

3. How can I use the GCD of 472, 930, 754, 108Calculator?

Out the numbers 472, 930, 754, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.