GCD of 764, 362, 14, 700 Calculator

Given Input numbers are 764, 362, 14, 700

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 764, 362, 14, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 362, 14, 700 is 2.

Therefore, GCD of numbers 764, 362, 14, 700 is 2

Given Input Data is 764, 362, 14, 700

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 362 is 2 x 181

Prime Factorization of 14 is 2 x 7

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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(764, 362) = 138284

GCD(764, 362) = ( 764 x 362 ) / 138284

GCD(764, 362) = 276568 / 138284

GCD(764, 362) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 700

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

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

GCD(2, 700) = 1400 / 700

GCD(2, 700) = 2

GCD of 764, 362, 14, 700 is 2

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1. What is the GCD of 764, 362, 14, 700?

GCD of 764, 362, 14, 700 is 2

2. Where do I get the detailed procedure to find GCD of 764, 362, 14, 700?

You can find a detailed procedure to find GCD of 764, 362, 14, 700 on our page.

3. How to find GCD of 764, 362, 14, 700 on a calculator?

You can find the GCD of 764, 362, 14, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.