GCD of 305, 500, 942, 850 Calculator

Given Input numbers are 305, 500, 942, 850

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 305, 500, 942, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 500, 942, 850 is 1.

Therefore, GCD of numbers 305, 500, 942, 850 is 1

Given Input Data is 305, 500, 942, 850

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 305 is 5 x 61

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 850 is 2 x 5 x 5 x 17

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(305, 500) = 30500

GCD(305, 500) = ( 305 x 500 ) / 30500

GCD(305, 500) = 152500 / 30500

GCD(305, 500) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 942

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

LCM(5, 942) = 4710

GCD(5, 942) = ( 5 x 942 ) / 4710

GCD(5, 942) = 4710 / 4710

GCD(5, 942) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

GCD of 305, 500, 942, 850 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 600, 163, 951, 983
• GCD of 849, 326, 168, 564
• GCD of 919, 611, 981, 456
• GCD of 676, 550, 448, 292
• GCD of 698, 498, 988, 564

1. What is the GCD of 305, 500, 942, 850?

GCD of 305, 500, 942, 850 is 1

2. Where do I get the detailed procedure to find GCD of 305, 500, 942, 850?

You can find a detailed procedure to find GCD of 305, 500, 942, 850 on our page.

3. How to find GCD of 305, 500, 942, 850 on a calculator?

You can find the GCD of 305, 500, 942, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.