GCD of 770, 598, 83, 175 Calculator

Given Input numbers are 770, 598, 83, 175

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 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 770, 598, 83, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 598, 83, 175 is 1.

Therefore, GCD of numbers 770, 598, 83, 175 is 1

Given Input Data is 770, 598, 83, 175

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 598 is 2 x 13 x 23

Prime Factorization of 83 is 83

Prime Factorization of 175 is 5 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(770, 598) = 230230

GCD(770, 598) = ( 770 x 598 ) / 230230

GCD(770, 598) = 460460 / 230230

GCD(770, 598) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

GCD of 770, 598, 83, 175 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 421, 511, 86, 893
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1. What is the GCD of 770, 598, 83, 175?

GCD of 770, 598, 83, 175 is 1

2. Where do I get the detailed procedure to find GCD of 770, 598, 83, 175?

You can find a detailed procedure to find GCD of 770, 598, 83, 175 on our page.

3. How to find GCD of 770, 598, 83, 175 on a calculator?

You can find the GCD of 770, 598, 83, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.