GCD of 472, 746, 720, 176 Calculator

Given Input numbers are 472, 746, 720, 176

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 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

GCD of numbers is the greatest common divisor

So, the GCD (472, 746, 720, 176) = 2.

Given numbers are 472, 746, 720, 176

The list of prime factors of all numbers are

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

Prime factors of 746 are 2 x 373

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 472, 746, 720, 176 is 2.

Given numbers are 472, 746, 720, 176

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

Apply this formula for all numbers.

Step1:

LCM(472, 746) = 176056

GCD(472, 746) = ( 472 x 746 ) / 176056

= 472 / 746

= 472

Step2:

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

= 2 / 720

= 2

Step3:

LCM(2, 176) = 176

GCD(2, 176) = ( 2 x 176 ) / 176

= 2 / 176

= 2

So, Greatest Common Divisor of 472, 746, 720, 176 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 470, 655, 636
• GCD of 590, 279, 476, 466
• GCD of 336, 338, 658, 247
• GCD of 919, 485, 668, 807
• GCD of 510, 307, 343, 217

Given numbers are 472, 746, 720, 176
The greatest common divisor of numbers 472, 746, 720, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 746, 720, 176 is 2.

1. What is the GCD of 472, 746, 720, 176?

GCD of given numbers 472, 746, 720, 176 is 2

2. How to calculate the greatest common divisor of 472, 746, 720, 176?

We can find the highest common divisor of 472, 746, 720, 176 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, 746, 720, 176 i.e 2.

3. How can I use the GCD of 472, 746, 720, 176Calculator?

Out the numbers 472, 746, 720, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.