GCD of 704, 274, 90, 977 Calculator

Given Input numbers are 704, 274, 90, 977

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 704, 274, 90, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 274, 90, 977 is 1.

Therefore, GCD of numbers 704, 274, 90, 977 is 1

Given Input Data is 704, 274, 90, 977

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 274 is 2 x 137

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 977 is 977

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(704, 274) = 96448

GCD(704, 274) = ( 704 x 274 ) / 96448

GCD(704, 274) = 192896 / 96448

GCD(704, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 977

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

LCM(2, 977) = 1954

GCD(2, 977) = ( 2 x 977 ) / 1954

GCD(2, 977) = 1954 / 1954

GCD(2, 977) = 1

GCD of 704, 274, 90, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 455, 112, 33, 293
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• GCD of 713, 211, 90, 398
• GCD of 672, 559, 13, 834
• GCD of 649, 231, 93, 873

1. What is the GCD of 704, 274, 90, 977?

GCD of 704, 274, 90, 977 is 1

2. Where do I get the detailed procedure to find GCD of 704, 274, 90, 977?

You can find a detailed procedure to find GCD of 704, 274, 90, 977 on our page.

3. How to find GCD of 704, 274, 90, 977 on a calculator?

You can find the GCD of 704, 274, 90, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.