GCD of 272, 349, 24, 120 Calculator

Given Input numbers are 272, 349, 24, 120

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 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

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

GCD of numbers is the greatest common divisor

So, the GCD (272, 349, 24, 120) = 1.

Given numbers are 272, 349, 24, 120

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 349 are 349

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Given numbers are 272, 349, 24, 120

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

Apply this formula for all numbers.

Step1:

LCM(272, 349) = 94928

GCD(272, 349) = ( 272 x 349 ) / 94928

= 272 / 349

= 272

Step2:

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

= 1 / 24

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 272, 349, 24, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 423, 58, 293
• GCD of 942, 980, 50, 492
• GCD of 632, 948, 59, 727
• GCD of 350, 575, 12, 765
• GCD of 411, 833, 12, 826

Given numbers are 272, 349, 24, 120
The greatest common divisor of numbers 272, 349, 24, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 349, 24, 120 is 1.

1. What is the GCD of 272, 349, 24, 120?

GCD of given numbers 272, 349, 24, 120 is 1

2. How to calculate the greatest common divisor of 272, 349, 24, 120?

We can find the highest common divisor of 272, 349, 24, 120 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, 349, 24, 120 i.e 1.

3. How can I use the GCD of 272, 349, 24, 120Calculator?

Out the numbers 272, 349, 24, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.