GCD of 714, 175, 62, 642 Calculator

Given Input numbers are 714, 175, 62, 642

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

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

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 714, 175, 62, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 175, 62, 642 is 1.

Therefore, GCD of numbers 714, 175, 62, 642 is 1

Given Input Data is 714, 175, 62, 642

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

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

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 62 is 2 x 31

Prime Factorization of 642 is 2 x 3 x 107

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(714, 175) = 17850

GCD(714, 175) = ( 714 x 175 ) / 17850

GCD(714, 175) = 124950 / 17850

GCD(714, 175) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 62

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

LCM(7, 62) = 434

GCD(7, 62) = ( 7 x 62 ) / 434

GCD(7, 62) = 434 / 434

GCD(7, 62) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 714, 175, 62, 642 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 732, 93, 647
• GCD of 692, 970, 75, 983
• GCD of 343, 171, 89, 114
• GCD of 245, 477, 47, 596
• GCD of 800, 453, 49, 718

1. What is the GCD of 714, 175, 62, 642?

GCD of 714, 175, 62, 642 is 1

2. Where do I get the detailed procedure to find GCD of 714, 175, 62, 642?

You can find a detailed procedure to find GCD of 714, 175, 62, 642 on our page.

3. How to find GCD of 714, 175, 62, 642 on a calculator?

You can find the GCD of 714, 175, 62, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.