GCD of 658, 142, 895, 357 Calculator

Given Input numbers are 658, 142, 895, 357

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 658, 142, 895, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 142, 895, 357 is 1.

Therefore, GCD of numbers 658, 142, 895, 357 is 1

Given Input Data is 658, 142, 895, 357

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 142 is 2 x 71

Prime Factorization of 895 is 5 x 179

Prime Factorization of 357 is 3 x 7 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(658, 142) = 46718

GCD(658, 142) = ( 658 x 142 ) / 46718

GCD(658, 142) = 93436 / 46718

GCD(658, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 895

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

LCM(2, 895) = 1790

GCD(2, 895) = ( 2 x 895 ) / 1790

GCD(2, 895) = 1790 / 1790

GCD(2, 895) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

GCD of 658, 142, 895, 357 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 227, 415, 282
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• GCD of 795, 375, 166, 457
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• GCD of 888, 652, 714, 309

1. What is the GCD of 658, 142, 895, 357?

GCD of 658, 142, 895, 357 is 1

2. Where do I get the detailed procedure to find GCD of 658, 142, 895, 357?

You can find a detailed procedure to find GCD of 658, 142, 895, 357 on our page.

3. How to find GCD of 658, 142, 895, 357 on a calculator?

You can find the GCD of 658, 142, 895, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.