GCD of 272, 554, 782, 344 Calculator

Given Input numbers are 272, 554, 782, 344

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

Divisors of 272 :

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

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

Divisors of 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (272, 554, 782, 344) = 2.

Given numbers are 272, 554, 782, 344

The list of prime factors of all numbers are

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

Prime factors of 554 are 2 x 277

Prime factors of 782 are 2 x 17 x 23

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 272, 554, 782, 344 is 2.

Given numbers are 272, 554, 782, 344

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

Apply this formula for all numbers.

Step1:

LCM(272, 554) = 75344

GCD(272, 554) = ( 272 x 554 ) / 75344

= 272 / 554

= 272

Step2:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

Step3:

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

= 2 / 344

= 2

So, Greatest Common Divisor of 272, 554, 782, 344 is 2

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Given numbers are 272, 554, 782, 344
The greatest common divisor of numbers 272, 554, 782, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 554, 782, 344 is 2.

1. What is the GCD of 272, 554, 782, 344?

GCD of given numbers 272, 554, 782, 344 is 2

2. How to calculate the greatest common divisor of 272, 554, 782, 344?

We can find the highest common divisor of 272, 554, 782, 344 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 272, 554, 782, 344 i.e 2.

3. How can I use the GCD of 272, 554, 782, 344Calculator?

Out the numbers 272, 554, 782, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.