GCD of 35, 676, 958, 272 Calculator

Given Input numbers are 35, 676, 958, 272

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

Divisors of 35

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

1, 5, 7, 35

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 35, 676, 958, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 676, 958, 272 is 1.

Therefore, GCD of numbers 35, 676, 958, 272 is 1

Given Input Data is 35, 676, 958, 272

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 958 is 2 x 479

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(35, 676) = 23660

GCD(35, 676) = ( 35 x 676 ) / 23660

GCD(35, 676) = 23660 / 23660

GCD(35, 676) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 35, 676, 958, 272 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 191, 326, 857
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• GCD of 50, 749, 388, 460
• GCD of 32, 979, 661, 651
• GCD of 62, 107, 499, 335

1. What is the GCD of 35, 676, 958, 272?

GCD of 35, 676, 958, 272 is 1

2. Where do I get the detailed procedure to find GCD of 35, 676, 958, 272?

You can find a detailed procedure to find GCD of 35, 676, 958, 272 on our page.

3. How to find GCD of 35, 676, 958, 272 on a calculator?

You can find the GCD of 35, 676, 958, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.