GCD of 714, 762, 61, 730 Calculator

Given Input numbers are 714, 762, 61, 730

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 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 714, 762, 61, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 762, 61, 730 is 1.

Therefore, GCD of numbers 714, 762, 61, 730 is 1

Given Input Data is 714, 762, 61, 730

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 762 is 2 x 3 x 127

Prime Factorization of 61 is 61

Prime Factorization of 730 is 2 x 5 x 73

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, 762) = 90678

GCD(714, 762) = ( 714 x 762 ) / 90678

GCD(714, 762) = 544068 / 90678

GCD(714, 762) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 61

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

LCM(6, 61) = 366

GCD(6, 61) = ( 6 x 61 ) / 366

GCD(6, 61) = 366 / 366

GCD(6, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 714, 762, 61, 730 is 1

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• GCD of 258, 721, 78, 100
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• GCD of 489, 210, 68, 975

1. What is the GCD of 714, 762, 61, 730?

GCD of 714, 762, 61, 730 is 1

2. Where do I get the detailed procedure to find GCD of 714, 762, 61, 730?

You can find a detailed procedure to find GCD of 714, 762, 61, 730 on our page.

3. How to find GCD of 714, 762, 61, 730 on a calculator?

You can find the GCD of 714, 762, 61, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.