GCD of 770, 476, 310, 398 Calculator

Given Input numbers are 770, 476, 310, 398

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

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 770, 476, 310, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 476, 310, 398 is 2.

Therefore, GCD of numbers 770, 476, 310, 398 is 2

Given Input Data is 770, 476, 310, 398

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

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 398 is 2 x 199

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(770, 476) = 26180

GCD(770, 476) = ( 770 x 476 ) / 26180

GCD(770, 476) = 366520 / 26180

GCD(770, 476) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 310

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

LCM(14, 310) = 2170

GCD(14, 310) = ( 14 x 310 ) / 2170

GCD(14, 310) = 4340 / 2170

GCD(14, 310) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 398

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

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

GCD(2, 398) = 796 / 398

GCD(2, 398) = 2

GCD of 770, 476, 310, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 225, 354, 800
• GCD of 486, 647, 280, 173
• GCD of 965, 780, 572, 334
• GCD of 289, 397, 972, 418
• GCD of 525, 547, 500, 141

1. What is the GCD of 770, 476, 310, 398?

GCD of 770, 476, 310, 398 is 2

2. Where do I get the detailed procedure to find GCD of 770, 476, 310, 398?

You can find a detailed procedure to find GCD of 770, 476, 310, 398 on our page.

3. How to find GCD of 770, 476, 310, 398 on a calculator?

You can find the GCD of 770, 476, 310, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.