GCD of 790, 748, 144, 272 Calculator

Given Input numbers are 790, 748, 144, 272

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

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (790, 748, 144, 272) = 2.

Given numbers are 790, 748, 144, 272

The list of prime factors of all numbers are

Prime factors of 790 are 2 x 5 x 79

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

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 790, 748, 144, 272 is 2.

Given numbers are 790, 748, 144, 272

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

Apply this formula for all numbers.

Step1:

LCM(790, 748) = 295460

GCD(790, 748) = ( 790 x 748 ) / 295460

= 790 / 748

= 790

Step2:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

Step3:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

So, Greatest Common Divisor of 790, 748, 144, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 903, 678, 717
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Given numbers are 790, 748, 144, 272
The greatest common divisor of numbers 790, 748, 144, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 748, 144, 272 is 2.

1. What is the GCD of 790, 748, 144, 272?

GCD of given numbers 790, 748, 144, 272 is 2

2. How to calculate the greatest common divisor of 790, 748, 144, 272?

We can find the highest common divisor of 790, 748, 144, 272 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 790, 748, 144, 272 i.e 2.

3. How can I use the GCD of 790, 748, 144, 272Calculator?

Out the numbers 790, 748, 144, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.