GCD of 770, 598, 74, 604 Calculator

Given Input numbers are 770, 598, 74, 604

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 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 770, 598, 74, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 598, 74, 604 is 2.

Therefore, GCD of numbers 770, 598, 74, 604 is 2

Given Input Data is 770, 598, 74, 604

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 74 is 2 x 37

Prime Factorization of 604 is 2 x 2 x 151

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, 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 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 604

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

LCM(2, 604) = 604

GCD(2, 604) = ( 2 x 604 ) / 604

GCD(2, 604) = 1208 / 604

GCD(2, 604) = 2

GCD of 770, 598, 74, 604 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 719, 943, 27, 933
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• GCD of 962, 888, 22, 690
• GCD of 406, 724, 21, 235

1. What is the GCD of 770, 598, 74, 604?

GCD of 770, 598, 74, 604 is 2

2. Where do I get the detailed procedure to find GCD of 770, 598, 74, 604?

You can find a detailed procedure to find GCD of 770, 598, 74, 604 on our page.

3. How to find GCD of 770, 598, 74, 604 on a calculator?

You can find the GCD of 770, 598, 74, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.