GCD of 272, 120, 628, 413 Calculator

Given Input numbers are 272, 120, 628, 413

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

GCD of numbers is the greatest common divisor

So, the GCD (272, 120, 628, 413) = 1.

Given numbers are 272, 120, 628, 413

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 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 628 are 2 x 2 x 157

Prime factors of 413 are 7 x 59

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 272, 120, 628, 413

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

Apply this formula for all numbers.

Step1:

LCM(272, 120) = 4080

GCD(272, 120) = ( 272 x 120 ) / 4080

= 272 / 120

= 272

Step2:

LCM(8, 628) = 1256

GCD(8, 628) = ( 8 x 628 ) / 1256

= 8 / 628

= 8

Step3:

LCM(4, 413) = 1652

GCD(4, 413) = ( 4 x 413 ) / 1652

= 4 / 413

= 4

So, Greatest Common Divisor of 272, 120, 628, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 770, 830, 923
• GCD of 247, 834, 363, 452
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• GCD of 905, 810, 128, 847
• GCD of 294, 372, 986, 284

Given numbers are 272, 120, 628, 413
The greatest common divisor of numbers 272, 120, 628, 413 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 120, 628, 413 is 1.

1. What is the GCD of 272, 120, 628, 413?

GCD of given numbers 272, 120, 628, 413 is 1

2. How to calculate the greatest common divisor of 272, 120, 628, 413?

We can find the highest common divisor of 272, 120, 628, 413 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, 120, 628, 413 i.e 1.

3. How can I use the GCD of 272, 120, 628, 413Calculator?

Out the numbers 272, 120, 628, 413 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.