GCD of 322, 278, 62, 770 Calculator

Given Input numbers are 322, 278, 62, 770

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 62

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

1, 2, 31, 62

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 322, 278, 62, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 278, 62, 770 is 2.

Therefore, GCD of numbers 322, 278, 62, 770 is 2

Given Input Data is 322, 278, 62, 770

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 278 is 2 x 139

Prime Factorization of 62 is 2 x 31

Prime Factorization of 770 is 2 x 5 x 7 x 11

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(322, 278) = 44758

GCD(322, 278) = ( 322 x 278 ) / 44758

GCD(322, 278) = 89516 / 44758

GCD(322, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 62

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

LCM(2, 62) = 62

GCD(2, 62) = ( 2 x 62 ) / 62

GCD(2, 62) = 124 / 62

GCD(2, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 770

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

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

GCD(2, 770) = 1540 / 770

GCD(2, 770) = 2

GCD of 322, 278, 62, 770 is 2

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1. What is the GCD of 322, 278, 62, 770?

GCD of 322, 278, 62, 770 is 2

2. Where do I get the detailed procedure to find GCD of 322, 278, 62, 770?

You can find a detailed procedure to find GCD of 322, 278, 62, 770 on our page.

3. How to find GCD of 322, 278, 62, 770 on a calculator?

You can find the GCD of 322, 278, 62, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.