GCD of 272, 334, 109, 869 Calculator

Given Input numbers are 272, 334, 109, 869

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 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 869 :

The positive integer divisors of 869 that completely divides 869 are.

1, 11, 79, 869

GCD of numbers is the greatest common divisor

So, the GCD (272, 334, 109, 869) = 1.

Given numbers are 272, 334, 109, 869

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 334 are 2 x 167

Prime factors of 109 are 109

Prime factors of 869 are 11 x 79

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

Given numbers are 272, 334, 109, 869

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

Apply this formula for all numbers.

Step1:

LCM(272, 334) = 45424

GCD(272, 334) = ( 272 x 334 ) / 45424

= 272 / 334

= 272

Step2:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2

Step3:

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

= 1 / 869

= 1

So, Greatest Common Divisor of 272, 334, 109, 869 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 273, 136, 137
• GCD of 303, 637, 409, 294
• GCD of 934, 335, 874, 631
• GCD of 882, 627, 996, 929
• GCD of 530, 411, 333, 421

Given numbers are 272, 334, 109, 869
The greatest common divisor of numbers 272, 334, 109, 869 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 334, 109, 869 is 1.

1. What is the GCD of 272, 334, 109, 869?

GCD of given numbers 272, 334, 109, 869 is 1

2. How to calculate the greatest common divisor of 272, 334, 109, 869?

We can find the highest common divisor of 272, 334, 109, 869 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, 334, 109, 869 i.e 1.

3. How can I use the GCD of 272, 334, 109, 869Calculator?

Out the numbers 272, 334, 109, 869 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.