GCD of 674, 750, 14, 887 Calculator

Given Input numbers are 674, 750, 14, 887

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 14

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

1, 2, 7, 14

Divisors of 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Greatest Common Divisior

We found the divisors of 674, 750, 14, 887 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 750, 14, 887 is 1.

Therefore, GCD of numbers 674, 750, 14, 887 is 1

Given Input Data is 674, 750, 14, 887

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 14 is 2 x 7

Prime Factorization of 887 is 887

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(674, 750) = 252750

GCD(674, 750) = ( 674 x 750 ) / 252750

GCD(674, 750) = 505500 / 252750

GCD(674, 750) = 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 887

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

LCM(2, 887) = 1774

GCD(2, 887) = ( 2 x 887 ) / 1774

GCD(2, 887) = 1774 / 1774

GCD(2, 887) = 1

GCD of 674, 750, 14, 887 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 420, 61, 964
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• GCD of 610, 464, 95, 835
• GCD of 814, 878, 85, 480

1. What is the GCD of 674, 750, 14, 887?

GCD of 674, 750, 14, 887 is 1

2. Where do I get the detailed procedure to find GCD of 674, 750, 14, 887?

You can find a detailed procedure to find GCD of 674, 750, 14, 887 on our page.

3. How to find GCD of 674, 750, 14, 887 on a calculator?

You can find the GCD of 674, 750, 14, 887 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.