GCD of 618, 735, 76, 906 Calculator

Given Input numbers are 618, 735, 76, 906

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

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 618, 735, 76, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 735, 76, 906 is 1.

Therefore, GCD of numbers 618, 735, 76, 906 is 1

Given Input Data is 618, 735, 76, 906

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

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 906 is 2 x 3 x 151

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(618, 735) = 151410

GCD(618, 735) = ( 618 x 735 ) / 151410

GCD(618, 735) = 454230 / 151410

GCD(618, 735) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 76

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

LCM(3, 76) = 228

GCD(3, 76) = ( 3 x 76 ) / 228

GCD(3, 76) = 228 / 228

GCD(3, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 906

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

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

GCD(1, 906) = 906 / 906

GCD(1, 906) = 1

GCD of 618, 735, 76, 906 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 300, 43, 130
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• GCD of 662, 298, 55, 910
• GCD of 715, 665, 57, 315
• GCD of 763, 112, 71, 764

1. What is the GCD of 618, 735, 76, 906?

GCD of 618, 735, 76, 906 is 1

2. Where do I get the detailed procedure to find GCD of 618, 735, 76, 906?

You can find a detailed procedure to find GCD of 618, 735, 76, 906 on our page.

3. How to find GCD of 618, 735, 76, 906 on a calculator?

You can find the GCD of 618, 735, 76, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.