GCD of 640, 490, 930, 695 Calculator

Given Input numbers are 640, 490, 930, 695

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

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 640, 490, 930, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 490, 930, 695 is 5.

Therefore, GCD of numbers 640, 490, 930, 695 is 5

Given Input Data is 640, 490, 930, 695

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

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 695 is 5 x 139

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(640, 490) = 31360

GCD(640, 490) = ( 640 x 490 ) / 31360

GCD(640, 490) = 313600 / 31360

GCD(640, 490) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 930

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

LCM(10, 930) = 930

GCD(10, 930) = ( 10 x 930 ) / 930

GCD(10, 930) = 9300 / 930

GCD(10, 930) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 695

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

LCM(10, 695) = 1390

GCD(10, 695) = ( 10 x 695 ) / 1390

GCD(10, 695) = 6950 / 1390

GCD(10, 695) = 5

GCD of 640, 490, 930, 695 is 5

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1. What is the GCD of 640, 490, 930, 695?

GCD of 640, 490, 930, 695 is 5

2. Where do I get the detailed procedure to find GCD of 640, 490, 930, 695?

You can find a detailed procedure to find GCD of 640, 490, 930, 695 on our page.

3. How to find GCD of 640, 490, 930, 695 on a calculator?

You can find the GCD of 640, 490, 930, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.