GCD of 378, 728, 890, 982 Calculator

Given Input numbers are 378, 728, 890, 982

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

GCD of numbers is the greatest common divisor

So, the GCD (378, 728, 890, 982) = 2.

Given numbers are 378, 728, 890, 982

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

Prime factors of 890 are 2 x 5 x 89

Prime factors of 982 are 2 x 491

The highest common occurrence is 2¹

Therefore, GCD of 378, 728, 890, 982 is 2.

Given numbers are 378, 728, 890, 982

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

Apply this formula for all numbers.

Step1:

LCM(378, 728) = 19656

GCD(378, 728) = ( 378 x 728 ) / 19656

= 378 / 728

= 378

Step2:

LCM(14, 890) = 6230

GCD(14, 890) = ( 14 x 890 ) / 6230

= 14 / 890

= 14

Step3:

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

= 2 / 982

= 2

So, Greatest Common Divisor of 378, 728, 890, 982 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 938, 636, 807
• GCD of 743, 727, 215, 660
• GCD of 941, 168, 863, 739
• GCD of 238, 513, 133, 536
• GCD of 191, 623, 469, 845

Given numbers are 378, 728, 890, 982
The greatest common divisor of numbers 378, 728, 890, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 728, 890, 982 is 2.

1. What is the GCD of 378, 728, 890, 982?

GCD of given numbers 378, 728, 890, 982 is 2

2. How to calculate the greatest common divisor of 378, 728, 890, 982?

We can find the highest common divisor of 378, 728, 890, 982 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 378, 728, 890, 982 i.e 2.

3. How can I use the GCD of 378, 728, 890, 982Calculator?

Out the numbers 378, 728, 890, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.