GCD of 895, 354, 140, 221 Calculator

Given Input numbers are 895, 354, 140, 221

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

Divisors of 895

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

1, 5, 179, 895

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 895, 354, 140, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 895, 354, 140, 221 is 1.

Therefore, GCD of numbers 895, 354, 140, 221 is 1

Given Input Data is 895, 354, 140, 221

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

Prime Factorization of 895 is 5 x 179

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 221 is 13 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(895, 354) = 316830

GCD(895, 354) = ( 895 x 354 ) / 316830

GCD(895, 354) = 316830 / 316830

GCD(895, 354) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 895, 354, 140, 221 is 1

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1. What is the GCD of 895, 354, 140, 221?

GCD of 895, 354, 140, 221 is 1

2. Where do I get the detailed procedure to find GCD of 895, 354, 140, 221?

You can find a detailed procedure to find GCD of 895, 354, 140, 221 on our page.

3. How to find GCD of 895, 354, 140, 221 on a calculator?

You can find the GCD of 895, 354, 140, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.