GCD of 956, 100, 728, 820 Calculator

Given Input numbers are 956, 100, 728, 820

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

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (956, 100, 728, 820) = 4.

Given numbers are 956, 100, 728, 820

The list of prime factors of all numbers are

Prime factors of 956 are 2 x 2 x 239

Prime factors of 100 are 2 x 2 x 5 x 5

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

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 2²

Therefore, GCD of 956, 100, 728, 820 is 4.

Given numbers are 956, 100, 728, 820

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

Apply this formula for all numbers.

Step1:

LCM(956, 100) = 23900

GCD(956, 100) = ( 956 x 100 ) / 23900

= 956 / 100

= 956

Step2:

LCM(4, 728) = 728

GCD(4, 728) = ( 4 x 728 ) / 728

= 4 / 728

= 4

Step3:

LCM(4, 820) = 820

GCD(4, 820) = ( 4 x 820 ) / 820

= 4 / 820

= 4

So, Greatest Common Divisor of 956, 100, 728, 820 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 337, 329, 658
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• GCD of 249, 441, 750, 648

Given numbers are 956, 100, 728, 820
The greatest common divisor of numbers 956, 100, 728, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 956, 100, 728, 820 is 4.

1. What is the GCD of 956, 100, 728, 820?

GCD of given numbers 956, 100, 728, 820 is 4

2. How to calculate the greatest common divisor of 956, 100, 728, 820?

We can find the highest common divisor of 956, 100, 728, 820 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 956, 100, 728, 820 i.e 4.

3. How can I use the GCD of 956, 100, 728, 820Calculator?

Out the numbers 956, 100, 728, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.