GCD of 168, 345, 49, 272 Calculator

Given Input numbers are 168, 345, 49, 272

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 49 :

The positive integer divisors of 49 that completely divides 49 are.

1, 7, 49

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 (168, 345, 49, 272) = 1.

Given numbers are 168, 345, 49, 272

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 345 are 3 x 5 x 23

Prime factors of 49 are 7 x 7

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

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

Given numbers are 168, 345, 49, 272

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

Apply this formula for all numbers.

Step1:

LCM(168, 345) = 19320

GCD(168, 345) = ( 168 x 345 ) / 19320

= 168 / 345

= 168

Step2:

LCM(3, 49) = 147

GCD(3, 49) = ( 3 x 49 ) / 147

= 3 / 49

= 3

Step3:

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

= 1 / 272

= 1

So, Greatest Common Divisor of 168, 345, 49, 272 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 744, 56, 220
• GCD of 502, 481, 34, 132
• GCD of 741, 639, 53, 690
• GCD of 149, 614, 22, 631
• GCD of 431, 775, 48, 234

Given numbers are 168, 345, 49, 272
The greatest common divisor of numbers 168, 345, 49, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 345, 49, 272 is 1.

1. What is the GCD of 168, 345, 49, 272?

GCD of given numbers 168, 345, 49, 272 is 1

2. How to calculate the greatest common divisor of 168, 345, 49, 272?

We can find the highest common divisor of 168, 345, 49, 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 168, 345, 49, 272 i.e 1.

3. How can I use the GCD of 168, 345, 49, 272Calculator?

Out the numbers 168, 345, 49, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.