GCD of 945, 850, 49, 688 Calculator

Given Input numbers are 945, 850, 49, 688

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 945, 850, 49, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 850, 49, 688 is 1.

Therefore, GCD of numbers 945, 850, 49, 688 is 1

Given Input Data is 945, 850, 49, 688

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(945, 850) = 160650

GCD(945, 850) = ( 945 x 850 ) / 160650

GCD(945, 850) = 803250 / 160650

GCD(945, 850) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 49

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

LCM(5, 49) = 245

GCD(5, 49) = ( 5 x 49 ) / 245

GCD(5, 49) = 245 / 245

GCD(5, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 945, 850, 49, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 152, 27, 339
• GCD of 459, 423, 28, 346
• GCD of 170, 891, 41, 306
• GCD of 698, 139, 27, 839
• GCD of 832, 482, 66, 913

1. What is the GCD of 945, 850, 49, 688?

GCD of 945, 850, 49, 688 is 1

2. Where do I get the detailed procedure to find GCD of 945, 850, 49, 688?

You can find a detailed procedure to find GCD of 945, 850, 49, 688 on our page.

3. How to find GCD of 945, 850, 49, 688 on a calculator?

You can find the GCD of 945, 850, 49, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.