GCD of 868, 378, 301, 728 Calculator

Given Input numbers are 868, 378, 301, 728

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

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

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

GCD of numbers is the greatest common divisor

So, the GCD (868, 378, 301, 728) = 7.

Given numbers are 868, 378, 301, 728

The list of prime factors of all numbers are

Prime factors of 868 are 2 x 2 x 7 x 31

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

Prime factors of 301 are 7 x 43

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

The highest common occurrence is 7¹

Therefore, GCD of 868, 378, 301, 728 is 7.

Given numbers are 868, 378, 301, 728

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

Apply this formula for all numbers.

Step1:

LCM(868, 378) = 23436

GCD(868, 378) = ( 868 x 378 ) / 23436

= 868 / 378

= 868

Step2:

LCM(14, 301) = 602

GCD(14, 301) = ( 14 x 301 ) / 602

= 14 / 301

= 14

Step3:

LCM(7, 728) = 728

GCD(7, 728) = ( 7 x 728 ) / 728

= 7 / 728

= 7

So, Greatest Common Divisor of 868, 378, 301, 728 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 377, 411, 402, 819
• GCD of 683, 371, 591, 503
• GCD of 711, 826, 350, 451
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• GCD of 599, 731, 433, 151

Given numbers are 868, 378, 301, 728
The greatest common divisor of numbers 868, 378, 301, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 868, 378, 301, 728 is 7.

1. What is the GCD of 868, 378, 301, 728?

GCD of given numbers 868, 378, 301, 728 is 7

2. How to calculate the greatest common divisor of 868, 378, 301, 728?

We can find the highest common divisor of 868, 378, 301, 728 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 868, 378, 301, 728 i.e 7.

3. How can I use the GCD of 868, 378, 301, 728Calculator?

Out the numbers 868, 378, 301, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.