GCD of 160, 728, 109, 120 Calculator

Given Input numbers are 160, 728, 109, 120

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

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 109 :

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

1, 109

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 (160, 728, 109, 120) = 1.

Given numbers are 160, 728, 109, 120

The list of prime factors of all numbers are

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 109 are 109

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 160, 728, 109, 120

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

Apply this formula for all numbers.

Step1:

LCM(160, 728) = 14560

GCD(160, 728) = ( 160 x 728 ) / 14560

= 160 / 728

= 160

Step2:

LCM(8, 109) = 872

GCD(8, 109) = ( 8 x 109 ) / 872

= 8 / 109

= 8

Step3:

LCM(1, 120) = 120

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

= 1 / 120

= 1

So, Greatest Common Divisor of 160, 728, 109, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 668, 400, 267, 210
• GCD of 963, 852, 814, 197
• GCD of 329, 537, 834, 199
• GCD of 341, 408, 237, 308
• GCD of 485, 587, 725, 922

Given numbers are 160, 728, 109, 120
The greatest common divisor of numbers 160, 728, 109, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 728, 109, 120 is 1.

1. What is the GCD of 160, 728, 109, 120?

GCD of given numbers 160, 728, 109, 120 is 1

2. How to calculate the greatest common divisor of 160, 728, 109, 120?

We can find the highest common divisor of 160, 728, 109, 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 160, 728, 109, 120 i.e 1.

3. How can I use the GCD of 160, 728, 109, 120Calculator?

Out the numbers 160, 728, 109, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.