GCD of 56, 650, 198, 670 Calculator

Given Input numbers are 56, 650, 198, 670

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 56, 650, 198, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 650, 198, 670 is 2.

Therefore, GCD of numbers 56, 650, 198, 670 is 2

Given Input Data is 56, 650, 198, 670

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 670 is 2 x 5 x 67

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(56, 650) = 18200

GCD(56, 650) = ( 56 x 650 ) / 18200

GCD(56, 650) = 36400 / 18200

GCD(56, 650) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 198

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

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

GCD(2, 198) = 396 / 198

GCD(2, 198) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 670

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

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

GCD(2, 670) = 1340 / 670

GCD(2, 670) = 2

GCD of 56, 650, 198, 670 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 618, 121, 542
• GCD of 70, 464, 602, 586
• GCD of 63, 878, 465, 984
• GCD of 57, 788, 487, 199
• GCD of 30, 561, 293, 138

1. What is the GCD of 56, 650, 198, 670?

GCD of 56, 650, 198, 670 is 2

2. Where do I get the detailed procedure to find GCD of 56, 650, 198, 670?

You can find a detailed procedure to find GCD of 56, 650, 198, 670 on our page.

3. How to find GCD of 56, 650, 198, 670 on a calculator?

You can find the GCD of 56, 650, 198, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.