GCD of 35, 316, 950, 458 Calculator

Given Input numbers are 35, 316, 950, 458

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 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 35, 316, 950, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 316, 950, 458 is 1.

Therefore, GCD of numbers 35, 316, 950, 458 is 1

Given Input Data is 35, 316, 950, 458

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 458 is 2 x 229

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, 316) = 11060

GCD(35, 316) = ( 35 x 316 ) / 11060

GCD(35, 316) = 11060 / 11060

GCD(35, 316) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 950

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

LCM(1, 950) = 950

GCD(1, 950) = ( 1 x 950 ) / 950

GCD(1, 950) = 950 / 950

GCD(1, 950) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 35, 316, 950, 458 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 956, 518, 981
• GCD of 11, 198, 393, 532
• GCD of 21, 570, 940, 988
• GCD of 45, 942, 258, 435
• GCD of 71, 506, 460, 590

1. What is the GCD of 35, 316, 950, 458?

GCD of 35, 316, 950, 458 is 1

2. Where do I get the detailed procedure to find GCD of 35, 316, 950, 458?

You can find a detailed procedure to find GCD of 35, 316, 950, 458 on our page.

3. How to find GCD of 35, 316, 950, 458 on a calculator?

You can find the GCD of 35, 316, 950, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.