GCD of 763, 670, 784, 714 Calculator

Given Input numbers are 763, 670, 784, 714

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

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 670

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

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 763, 670, 784, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 670, 784, 714 is 1.

Therefore, GCD of numbers 763, 670, 784, 714 is 1

Given Input Data is 763, 670, 784, 714

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

Prime Factorization of 763 is 7 x 109

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 714 is 2 x 3 x 7 x 17

The above numbers do not have any common prime factor. So GCD is 1

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(763, 670) = 511210

GCD(763, 670) = ( 763 x 670 ) / 511210

GCD(763, 670) = 511210 / 511210

GCD(763, 670) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 763, 670, 784, 714 is 1

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1. What is the GCD of 763, 670, 784, 714?

GCD of 763, 670, 784, 714 is 1

2. Where do I get the detailed procedure to find GCD of 763, 670, 784, 714?

You can find a detailed procedure to find GCD of 763, 670, 784, 714 on our page.

3. How to find GCD of 763, 670, 784, 714 on a calculator?

You can find the GCD of 763, 670, 784, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.