GCD of 692, 850, 76, 902 Calculator

Given Input numbers are 692, 850, 76, 902

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 692, 850, 76, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 850, 76, 902 is 2.

Therefore, GCD of numbers 692, 850, 76, 902 is 2

Given Input Data is 692, 850, 76, 902

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

Prime Factorization of 692 is 2 x 2 x 173

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 902 is 2 x 11 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(692, 850) = 294100

GCD(692, 850) = ( 692 x 850 ) / 294100

GCD(692, 850) = 588200 / 294100

GCD(692, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 902

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

LCM(2, 902) = 902

GCD(2, 902) = ( 2 x 902 ) / 902

GCD(2, 902) = 1804 / 902

GCD(2, 902) = 2

GCD of 692, 850, 76, 902 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 545, 49, 785
• GCD of 297, 942, 28, 681
• GCD of 832, 601, 44, 500
• GCD of 866, 357, 40, 611
• GCD of 179, 232, 49, 104

1. What is the GCD of 692, 850, 76, 902?

GCD of 692, 850, 76, 902 is 2

2. Where do I get the detailed procedure to find GCD of 692, 850, 76, 902?

You can find a detailed procedure to find GCD of 692, 850, 76, 902 on our page.

3. How to find GCD of 692, 850, 76, 902 on a calculator?

You can find the GCD of 692, 850, 76, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.