GCD of 714, 972, 616, 105 Calculator

Given Input numbers are 714, 972, 616, 105

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 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 714, 972, 616, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 972, 616, 105 is 1.

Therefore, GCD of numbers 714, 972, 616, 105 is 1

Given Input Data is 714, 972, 616, 105

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 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 105 is 3 x 5 x 7

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, 972) = 115668

GCD(714, 972) = ( 714 x 972 ) / 115668

GCD(714, 972) = 694008 / 115668

GCD(714, 972) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 616

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

LCM(6, 616) = 1848

GCD(6, 616) = ( 6 x 616 ) / 1848

GCD(6, 616) = 3696 / 1848

GCD(6, 616) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 105

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

LCM(2, 105) = 210

GCD(2, 105) = ( 2 x 105 ) / 210

GCD(2, 105) = 210 / 210

GCD(2, 105) = 1

GCD of 714, 972, 616, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 372, 987, 749
• GCD of 320, 103, 242, 261
• GCD of 727, 749, 415, 362
• GCD of 890, 382, 661, 658
• GCD of 260, 279, 532, 428

1. What is the GCD of 714, 972, 616, 105?

GCD of 714, 972, 616, 105 is 1

2. Where do I get the detailed procedure to find GCD of 714, 972, 616, 105?

You can find a detailed procedure to find GCD of 714, 972, 616, 105 on our page.

3. How to find GCD of 714, 972, 616, 105 on a calculator?

You can find the GCD of 714, 972, 616, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.