GCD of 872, 590, 882, 280 Calculator

Given Input numbers are 872, 590, 882, 280

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (872, 590, 882, 280) = 2.

Given numbers are 872, 590, 882, 280

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 590 are 2 x 5 x 59

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 872, 590, 882, 280 is 2.

Given numbers are 872, 590, 882, 280

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

Apply this formula for all numbers.

Step1:

LCM(872, 590) = 257240

GCD(872, 590) = ( 872 x 590 ) / 257240

= 872 / 590

= 872

Step2:

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

= 2 / 882

= 2

Step3:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

So, Greatest Common Divisor of 872, 590, 882, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 528, 994, 588
• GCD of 233, 426, 995, 431
• GCD of 730, 280, 414, 380
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• GCD of 801, 104, 995, 673

Given numbers are 872, 590, 882, 280
The greatest common divisor of numbers 872, 590, 882, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 590, 882, 280 is 2.

1. What is the GCD of 872, 590, 882, 280?

GCD of given numbers 872, 590, 882, 280 is 2

2. How to calculate the greatest common divisor of 872, 590, 882, 280?

We can find the highest common divisor of 872, 590, 882, 280 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 872, 590, 882, 280 i.e 2.

3. How can I use the GCD of 872, 590, 882, 280Calculator?

Out the numbers 872, 590, 882, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.