GCD of 335, 630, 10, 280 Calculator

Given Input numbers are 335, 630, 10, 280

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

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 335, 630, 10, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 335, 630, 10, 280 is 5.

Therefore, GCD of numbers 335, 630, 10, 280 is 5

Given Input Data is 335, 630, 10, 280

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

Prime Factorization of 335 is 5 x 67

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 10 is 2 x 5

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(335, 630) = 42210

GCD(335, 630) = ( 335 x 630 ) / 42210

GCD(335, 630) = 211050 / 42210

GCD(335, 630) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 10

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

LCM(5, 10) = 10

GCD(5, 10) = ( 5 x 10 ) / 10

GCD(5, 10) = 50 / 10

GCD(5, 10) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 280

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

LCM(5, 280) = 280

GCD(5, 280) = ( 5 x 280 ) / 280

GCD(5, 280) = 1400 / 280

GCD(5, 280) = 5

GCD of 335, 630, 10, 280 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 291, 38, 118
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• GCD of 303, 970, 68, 869
• GCD of 373, 440, 12, 910
• GCD of 804, 865, 82, 595

1. What is the GCD of 335, 630, 10, 280?

GCD of 335, 630, 10, 280 is 5

2. Where do I get the detailed procedure to find GCD of 335, 630, 10, 280?

You can find a detailed procedure to find GCD of 335, 630, 10, 280 on our page.

3. How to find GCD of 335, 630, 10, 280 on a calculator?

You can find the GCD of 335, 630, 10, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.