GCD of 871, 936, 100, 440 Calculator

Given Input numbers are 871, 936, 100, 440

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

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (871, 936, 100, 440) = 1.

Given numbers are 871, 936, 100, 440

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

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

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 871, 936, 100, 440

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

Apply this formula for all numbers.

Step1:

LCM(871, 936) = 62712

GCD(871, 936) = ( 871 x 936 ) / 62712

= 871 / 936

= 871

Step2:

LCM(13, 100) = 1300

GCD(13, 100) = ( 13 x 100 ) / 1300

= 13 / 100

= 13

Step3:

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

= 1 / 440

= 1

So, Greatest Common Divisor of 871, 936, 100, 440 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 669, 178, 656
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Given numbers are 871, 936, 100, 440
The greatest common divisor of numbers 871, 936, 100, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 936, 100, 440 is 1.

1. What is the GCD of 871, 936, 100, 440?

GCD of given numbers 871, 936, 100, 440 is 1

2. How to calculate the greatest common divisor of 871, 936, 100, 440?

We can find the highest common divisor of 871, 936, 100, 440 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 871, 936, 100, 440 i.e 1.

3. How can I use the GCD of 871, 936, 100, 440Calculator?

Out the numbers 871, 936, 100, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.