GCD of 112, 504, 854, 109 Calculator

Given Input numbers are 112, 504, 854, 109

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 109 :

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

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (112, 504, 854, 109) = 1.

Given numbers are 112, 504, 854, 109

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 854 are 2 x 7 x 61

Prime factors of 109 are 109

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

Given numbers are 112, 504, 854, 109

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

Apply this formula for all numbers.

Step1:

LCM(112, 504) = 1008

GCD(112, 504) = ( 112 x 504 ) / 1008

= 112 / 504

= 112

Step2:

LCM(56, 854) = 3416

GCD(56, 854) = ( 56 x 854 ) / 3416

= 56 / 854

= 56

Step3:

LCM(14, 109) = 1526

GCD(14, 109) = ( 14 x 109 ) / 1526

= 14 / 109

= 14

So, Greatest Common Divisor of 112, 504, 854, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 547, 371, 502
• GCD of 125, 881, 265, 904
• GCD of 329, 267, 820, 964
• GCD of 860, 285, 620, 448
• GCD of 926, 325, 461, 347

Given numbers are 112, 504, 854, 109
The greatest common divisor of numbers 112, 504, 854, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 504, 854, 109 is 1.

1. What is the GCD of 112, 504, 854, 109?

GCD of given numbers 112, 504, 854, 109 is 1

2. How to calculate the greatest common divisor of 112, 504, 854, 109?

We can find the highest common divisor of 112, 504, 854, 109 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 112, 504, 854, 109 i.e 1.

3. How can I use the GCD of 112, 504, 854, 109Calculator?

Out the numbers 112, 504, 854, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.