GCD of 762, 970, 14, 722 Calculator

Given Input numbers are 762, 970, 14, 722

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

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 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 14

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

1, 2, 7, 14

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 762, 970, 14, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 970, 14, 722 is 2.

Therefore, GCD of numbers 762, 970, 14, 722 is 2

Given Input Data is 762, 970, 14, 722

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 14 is 2 x 7

Prime Factorization of 722 is 2 x 19 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(762, 970) = 369570

GCD(762, 970) = ( 762 x 970 ) / 369570

GCD(762, 970) = 739140 / 369570

GCD(762, 970) = 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 722

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

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

GCD(2, 722) = 1444 / 722

GCD(2, 722) = 2

GCD of 762, 970, 14, 722 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 519, 362, 60, 156
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• GCD of 121, 156, 48, 318
• GCD of 452, 995, 40, 646

1. What is the GCD of 762, 970, 14, 722?

GCD of 762, 970, 14, 722 is 2

2. Where do I get the detailed procedure to find GCD of 762, 970, 14, 722?

You can find a detailed procedure to find GCD of 762, 970, 14, 722 on our page.

3. How to find GCD of 762, 970, 14, 722 on a calculator?

You can find the GCD of 762, 970, 14, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.