GCD of 280, 470, 590 Calculator

Given Input numbers are 280, 470, 590

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

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 590 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (280, 470, 590) = 10.

Given numbers are 280, 470, 590

The list of prime factors of all numbers are

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

Prime factors of 470 are 2 x 5 x 47

Prime factors of 590 are 2 x 5 x 59

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 280, 470, 590 is 10.

Given numbers are 280, 470, 590

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

Apply this formula for all numbers.

Step1:

LCM(280, 470) = 13160

GCD(280, 470) = ( 280 x 470 ) / 13160

= 280 / 470

= 280

Step2:

LCM(10, 590) = 590

GCD(10, 590) = ( 10 x 590 ) / 590

= 10 / 590

= 10

So, Greatest Common Divisor of 280, 470, 590 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 137, 311
• GCD of 901, 919, 155
• GCD of 644, 548, 152
• GCD of 471, 783, 572
• GCD of 786, 608, 861

Given numbers are 280, 470, 590
The greatest common divisor of numbers 280, 470, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 470, 590 is 10.

1. What is the GCD of 280, 470, 590?

GCD of given numbers 280, 470, 590 is 10

2. How to calculate the greatest common divisor of 280, 470, 590?

We can find the highest common divisor of 280, 470, 590 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 280, 470, 590 i.e 10.

3. How can I use the GCD of 280, 470, 590Calculator?

Out the numbers 280, 470, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.