GCD of 708, 554, 35, 149 Calculator

Given Input numbers are 708, 554, 35, 149

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 35

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

1, 5, 7, 35

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 708, 554, 35, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 554, 35, 149 is 1.

Therefore, GCD of numbers 708, 554, 35, 149 is 1

Given Input Data is 708, 554, 35, 149

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 554 is 2 x 277

Prime Factorization of 35 is 5 x 7

Prime Factorization of 149 is 149

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(708, 554) = 196116

GCD(708, 554) = ( 708 x 554 ) / 196116

GCD(708, 554) = 392232 / 196116

GCD(708, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 35

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

LCM(2, 35) = 70

GCD(2, 35) = ( 2 x 35 ) / 70

GCD(2, 35) = 70 / 70

GCD(2, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 708, 554, 35, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 897, 88, 826
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• GCD of 846, 253, 70, 903

1. What is the GCD of 708, 554, 35, 149?

GCD of 708, 554, 35, 149 is 1

2. Where do I get the detailed procedure to find GCD of 708, 554, 35, 149?

You can find a detailed procedure to find GCD of 708, 554, 35, 149 on our page.

3. How to find GCD of 708, 554, 35, 149 on a calculator?

You can find the GCD of 708, 554, 35, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.