GCD of 674, 649, 56, 150 Calculator

Given Input numbers are 674, 649, 56, 150

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 674, 649, 56, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 649, 56, 150 is 1.

Therefore, GCD of numbers 674, 649, 56, 150 is 1

Given Input Data is 674, 649, 56, 150

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 649 is 11 x 59

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 150 is 2 x 3 x 5 x 5

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(674, 649) = 437426

GCD(674, 649) = ( 674 x 649 ) / 437426

GCD(674, 649) = 437426 / 437426

GCD(674, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

GCD of 674, 649, 56, 150 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 423, 67, 529
• GCD of 630, 615, 39, 711
• GCD of 903, 925, 95, 336
• GCD of 432, 649, 26, 374
• GCD of 426, 553, 48, 881

1. What is the GCD of 674, 649, 56, 150?

GCD of 674, 649, 56, 150 is 1

2. Where do I get the detailed procedure to find GCD of 674, 649, 56, 150?

You can find a detailed procedure to find GCD of 674, 649, 56, 150 on our page.

3. How to find GCD of 674, 649, 56, 150 on a calculator?

You can find the GCD of 674, 649, 56, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.