GCD of 871, 533, 364, 300 Calculator

Given Input numbers are 871, 533, 364, 300

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 533 :

The positive integer divisors of 533 that completely divides 533 are.

1, 13, 41, 533

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (871, 533, 364, 300) = 1.

Given numbers are 871, 533, 364, 300

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 533 are 13 x 41

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

Given numbers are 871, 533, 364, 300

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

Apply this formula for all numbers.

Step1:

LCM(871, 533) = 35711

GCD(871, 533) = ( 871 x 533 ) / 35711

= 871 / 533

= 871

Step2:

LCM(13, 364) = 364

GCD(13, 364) = ( 13 x 364 ) / 364

= 13 / 364

= 13

Step3:

LCM(13, 300) = 3900

GCD(13, 300) = ( 13 x 300 ) / 3900

= 13 / 300

= 13

So, Greatest Common Divisor of 871, 533, 364, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 841, 928, 269
• GCD of 795, 115, 542, 105
• GCD of 762, 615, 708, 617
• GCD of 438, 737, 378, 246
• GCD of 204, 595, 193, 408

Given numbers are 871, 533, 364, 300
The greatest common divisor of numbers 871, 533, 364, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 533, 364, 300 is 1.

1. What is the GCD of 871, 533, 364, 300?

GCD of given numbers 871, 533, 364, 300 is 1

2. How to calculate the greatest common divisor of 871, 533, 364, 300?

We can find the highest common divisor of 871, 533, 364, 300 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, 533, 364, 300 i.e 1.

3. How can I use the GCD of 871, 533, 364, 300Calculator?

Out the numbers 871, 533, 364, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.