GCD of 873, 105, 531, 420 Calculator

Given Input numbers are 873, 105, 531, 420

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

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (873, 105, 531, 420) = 3.

Given numbers are 873, 105, 531, 420

The list of prime factors of all numbers are

Prime factors of 873 are 3 x 3 x 97

Prime factors of 105 are 3 x 5 x 7

Prime factors of 531 are 3 x 3 x 59

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 873, 105, 531, 420 is 3.

Given numbers are 873, 105, 531, 420

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

Apply this formula for all numbers.

Step1:

LCM(873, 105) = 30555

GCD(873, 105) = ( 873 x 105 ) / 30555

= 873 / 105

= 873

Step2:

LCM(3, 531) = 531

GCD(3, 531) = ( 3 x 531 ) / 531

= 3 / 531

= 3

Step3:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

So, Greatest Common Divisor of 873, 105, 531, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 883, 980, 315
• GCD of 693, 270, 750, 137
• GCD of 976, 553, 143, 548
• GCD of 513, 360, 567, 721
• GCD of 657, 685, 314, 953

Given numbers are 873, 105, 531, 420
The greatest common divisor of numbers 873, 105, 531, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 105, 531, 420 is 3.

1. What is the GCD of 873, 105, 531, 420?

GCD of given numbers 873, 105, 531, 420 is 3

2. How to calculate the greatest common divisor of 873, 105, 531, 420?

We can find the highest common divisor of 873, 105, 531, 420 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 873, 105, 531, 420 i.e 3.

3. How can I use the GCD of 873, 105, 531, 420Calculator?

Out the numbers 873, 105, 531, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.