GCD of 745, 374, 35, 656 Calculator

Given Input numbers are 745, 374, 35, 656

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 745, 374, 35, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 374, 35, 656 is 1.

Therefore, GCD of numbers 745, 374, 35, 656 is 1

Given Input Data is 745, 374, 35, 656

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 35 is 5 x 7

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(745, 374) = 278630

GCD(745, 374) = ( 745 x 374 ) / 278630

GCD(745, 374) = 278630 / 278630

GCD(745, 374) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 745, 374, 35, 656 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 305, 86, 929
• GCD of 342, 392, 72, 594
• GCD of 806, 212, 12, 244
• GCD of 209, 774, 69, 386
• GCD of 376, 659, 18, 317

1. What is the GCD of 745, 374, 35, 656?

GCD of 745, 374, 35, 656 is 1

2. Where do I get the detailed procedure to find GCD of 745, 374, 35, 656?

You can find a detailed procedure to find GCD of 745, 374, 35, 656 on our page.

3. How to find GCD of 745, 374, 35, 656 on a calculator?

You can find the GCD of 745, 374, 35, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.