GCD of 408, 802, 77, 974 Calculator

Given Input numbers are 408, 802, 77, 974

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 408, 802, 77, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 802, 77, 974 is 1.

Therefore, GCD of numbers 408, 802, 77, 974 is 1

Given Input Data is 408, 802, 77, 974

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 802 is 2 x 401

Prime Factorization of 77 is 7 x 11

Prime Factorization of 974 is 2 x 487

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(408, 802) = 163608

GCD(408, 802) = ( 408 x 802 ) / 163608

GCD(408, 802) = 327216 / 163608

GCD(408, 802) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 408, 802, 77, 974 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 822, 99, 830
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• GCD of 488, 301, 60, 274
• GCD of 591, 851, 79, 114

1. What is the GCD of 408, 802, 77, 974?

GCD of 408, 802, 77, 974 is 1

2. Where do I get the detailed procedure to find GCD of 408, 802, 77, 974?

You can find a detailed procedure to find GCD of 408, 802, 77, 974 on our page.

3. How to find GCD of 408, 802, 77, 974 on a calculator?

You can find the GCD of 408, 802, 77, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.