GCD of 882, 728, 160, 380 Calculator

Given Input numbers are 882, 728, 160, 380

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

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 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 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (882, 728, 160, 380) = 2.

Given numbers are 882, 728, 160, 380

The list of prime factors of all numbers are

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

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

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

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 882, 728, 160, 380 is 2.

Given numbers are 882, 728, 160, 380

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

Apply this formula for all numbers.

Step1:

LCM(882, 728) = 45864

GCD(882, 728) = ( 882 x 728 ) / 45864

= 882 / 728

= 882

Step2:

LCM(14, 160) = 1120

GCD(14, 160) = ( 14 x 160 ) / 1120

= 14 / 160

= 14

Step3:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

So, Greatest Common Divisor of 882, 728, 160, 380 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 342, 500, 275
• GCD of 343, 182, 874, 487
• GCD of 589, 623, 187, 887
• GCD of 194, 949, 436, 919
• GCD of 169, 149, 971, 938

Given numbers are 882, 728, 160, 380
The greatest common divisor of numbers 882, 728, 160, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 728, 160, 380 is 2.

1. What is the GCD of 882, 728, 160, 380?

GCD of given numbers 882, 728, 160, 380 is 2

2. How to calculate the greatest common divisor of 882, 728, 160, 380?

We can find the highest common divisor of 882, 728, 160, 380 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 882, 728, 160, 380 i.e 2.

3. How can I use the GCD of 882, 728, 160, 380Calculator?

Out the numbers 882, 728, 160, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.