GCD of 800, 590, 670 Calculator

Given Input numbers are 800, 590, 670

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 590 :

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

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

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

GCD of numbers is the greatest common divisor

So, the GCD (800, 590, 670) = 10.

Given numbers are 800, 590, 670

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 590 are 2 x 5 x 59

Prime factors of 670 are 2 x 5 x 67

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 800, 590, 670 is 10.

Given numbers are 800, 590, 670

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

Apply this formula for all numbers.

Step1:

LCM(800, 590) = 47200

GCD(800, 590) = ( 800 x 590 ) / 47200

= 800 / 590

= 800

Step2:

LCM(10, 670) = 670

GCD(10, 670) = ( 10 x 670 ) / 670

= 10 / 670

= 10

So, Greatest Common Divisor of 800, 590, 670 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 592, 551
• GCD of 294, 127, 668
• GCD of 207, 920, 979
• GCD of 547, 984, 342
• GCD of 264, 273, 586

Given numbers are 800, 590, 670
The greatest common divisor of numbers 800, 590, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 590, 670 is 10.

1. What is the GCD of 800, 590, 670?

GCD of given numbers 800, 590, 670 is 10

2. How to calculate the greatest common divisor of 800, 590, 670?

We can find the highest common divisor of 800, 590, 670 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 800, 590, 670 i.e 10.

3. How can I use the GCD of 800, 590, 670Calculator?

Out the numbers 800, 590, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.