GCD of 88, 66, 14, 72 Calculator

Given Input numbers are 88, 66, 14, 72

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

Divisors of 88 :

The positive integer divisors of 88 that completely divides 88 are.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 66 :

The positive integer divisors of 66 that completely divides 66 are.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

GCD of numbers is the greatest common divisor

So, the GCD (88, 66, 14, 72) = 2.

Given numbers are 88, 66, 14, 72

The list of prime factors of all numbers are

Prime factors of 88 are 2 x 2 x 2 x 11

Prime factors of 66 are 2 x 3 x 11

Prime factors of 14 are 2 x 7

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 88, 66, 14, 72 is 2.

Given numbers are 88, 66, 14, 72

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

Apply this formula for all numbers.

Step1:

LCM(88, 66) = 264

GCD(88, 66) = ( 88 x 66 ) / 264

= 88 / 66

= 88

Step2:

LCM(22, 14) = 154

GCD(22, 14) = ( 22 x 14 ) / 154

= 22 / 14

= 22

Step3:

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

= 2 / 72

= 2

So, Greatest Common Divisor of 88, 66, 14, 72 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 24, 27, 92
• GCD of 64, 92, 61, 36
• GCD of 73, 53, 60, 54
• GCD of 37, 97, 77, 15
• GCD of 32, 12, 68, 61

Given numbers are 88, 66, 14, 72
The greatest common divisor of numbers 88, 66, 14, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 88, 66, 14, 72 is 2.

1. What is the GCD of 88, 66, 14, 72?

GCD of given numbers 88, 66, 14, 72 is 2

2. How to calculate the greatest common divisor of 88, 66, 14, 72?

We can find the highest common divisor of 88, 66, 14, 72 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 88, 66, 14, 72 i.e 2.

3. How can I use the GCD of 88, 66, 14, 72Calculator?

Out the numbers 88, 66, 14, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.