GCD of 614, 948, 640, 702 Calculator

Given Input numbers are 614, 948, 640, 702

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 614, 948, 640, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 948, 640, 702 is 2.

Therefore, GCD of numbers 614, 948, 640, 702 is 2

Given Input Data is 614, 948, 640, 702

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 948 is 2 x 2 x 3 x 79

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(614, 948) = 291036

GCD(614, 948) = ( 614 x 948 ) / 291036

GCD(614, 948) = 582072 / 291036

GCD(614, 948) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 640

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

LCM(2, 640) = 640

GCD(2, 640) = ( 2 x 640 ) / 640

GCD(2, 640) = 1280 / 640

GCD(2, 640) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 702

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

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

GCD(2, 702) = 1404 / 702

GCD(2, 702) = 2

GCD of 614, 948, 640, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 732, 418, 168
• GCD of 486, 317, 326, 404
• GCD of 684, 969, 154, 805
• GCD of 923, 369, 158, 711
• GCD of 310, 516, 246, 420

1. What is the GCD of 614, 948, 640, 702?

GCD of 614, 948, 640, 702 is 2

2. Where do I get the detailed procedure to find GCD of 614, 948, 640, 702?

You can find a detailed procedure to find GCD of 614, 948, 640, 702 on our page.

3. How to find GCD of 614, 948, 640, 702 on a calculator?

You can find the GCD of 614, 948, 640, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.