GCD of 700, 366, 642, 850 Calculator

Given Input numbers are 700, 366, 642, 850

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

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 700, 366, 642, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 366, 642, 850 is 2.

Therefore, GCD of numbers 700, 366, 642, 850 is 2

Given Input Data is 700, 366, 642, 850

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 642 is 2 x 3 x 107

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

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(700, 366) = 128100

GCD(700, 366) = ( 700 x 366 ) / 128100

GCD(700, 366) = 256200 / 128100

GCD(700, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 642

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

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

GCD(2, 642) = 1284 / 642

GCD(2, 642) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 850

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

LCM(2, 850) = 850

GCD(2, 850) = ( 2 x 850 ) / 850

GCD(2, 850) = 1700 / 850

GCD(2, 850) = 2

GCD of 700, 366, 642, 850 is 2

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1. What is the GCD of 700, 366, 642, 850?

GCD of 700, 366, 642, 850 is 2

2. Where do I get the detailed procedure to find GCD of 700, 366, 642, 850?

You can find a detailed procedure to find GCD of 700, 366, 642, 850 on our page.

3. How to find GCD of 700, 366, 642, 850 on a calculator?

You can find the GCD of 700, 366, 642, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.