GCD of 800, 830, 298, 142 Calculator

Given Input numbers are 800, 830, 298, 142

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 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (800, 830, 298, 142) = 2.

Given numbers are 800, 830, 298, 142

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 830 are 2 x 5 x 83

Prime factors of 298 are 2 x 149

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 800, 830, 298, 142 is 2.

Given numbers are 800, 830, 298, 142

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

Apply this formula for all numbers.

Step1:

LCM(800, 830) = 66400

GCD(800, 830) = ( 800 x 830 ) / 66400

= 800 / 830

= 800

Step2:

LCM(10, 298) = 1490

GCD(10, 298) = ( 10 x 298 ) / 1490

= 10 / 298

= 10

Step3:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 800, 830, 298, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 493, 433, 278, 384
• GCD of 187, 665, 349, 203
• GCD of 542, 140, 219, 792
• GCD of 211, 467, 408, 566
• GCD of 854, 273, 166, 222

Given numbers are 800, 830, 298, 142
The greatest common divisor of numbers 800, 830, 298, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 830, 298, 142 is 2.

1. What is the GCD of 800, 830, 298, 142?

GCD of given numbers 800, 830, 298, 142 is 2

2. How to calculate the greatest common divisor of 800, 830, 298, 142?

We can find the highest common divisor of 800, 830, 298, 142 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, 830, 298, 142 i.e 2.

3. How can I use the GCD of 800, 830, 298, 142Calculator?

Out the numbers 800, 830, 298, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.