GCD of 550, 960, 90, 692 Calculator

Given Input numbers are 550, 960, 90, 692

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

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 692

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

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 550, 960, 90, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 960, 90, 692 is 2.

Therefore, GCD of numbers 550, 960, 90, 692 is 2

Given Input Data is 550, 960, 90, 692

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 692 is 2 x 2 x 173

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(550, 960) = 52800

GCD(550, 960) = ( 550 x 960 ) / 52800

GCD(550, 960) = 528000 / 52800

GCD(550, 960) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 90

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

LCM(10, 90) = 90

GCD(10, 90) = ( 10 x 90 ) / 90

GCD(10, 90) = 900 / 90

GCD(10, 90) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 692

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

LCM(10, 692) = 3460

GCD(10, 692) = ( 10 x 692 ) / 3460

GCD(10, 692) = 6920 / 3460

GCD(10, 692) = 2

GCD of 550, 960, 90, 692 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 118, 69, 681
• GCD of 307, 872, 97, 430
• GCD of 111, 669, 50, 910
• GCD of 418, 749, 43, 229
• GCD of 618, 549, 52, 111

1. What is the GCD of 550, 960, 90, 692?

GCD of 550, 960, 90, 692 is 2

2. Where do I get the detailed procedure to find GCD of 550, 960, 90, 692?

You can find a detailed procedure to find GCD of 550, 960, 90, 692 on our page.

3. How to find GCD of 550, 960, 90, 692 on a calculator?

You can find the GCD of 550, 960, 90, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.