GCD of 341, 536, 70, 289 Calculator

Given Input numbers are 341, 536, 70, 289

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

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 341, 536, 70, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 341, 536, 70, 289 is 1.

Therefore, GCD of numbers 341, 536, 70, 289 is 1

Given Input Data is 341, 536, 70, 289

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

Prime Factorization of 341 is 11 x 31

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 289 is 17 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(341, 536) = 182776

GCD(341, 536) = ( 341 x 536 ) / 182776

GCD(341, 536) = 182776 / 182776

GCD(341, 536) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 341, 536, 70, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 582, 47, 786
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• GCD of 271, 184, 96, 916
• GCD of 491, 982, 10, 846
• GCD of 623, 879, 42, 635

1. What is the GCD of 341, 536, 70, 289?

GCD of 341, 536, 70, 289 is 1

2. Where do I get the detailed procedure to find GCD of 341, 536, 70, 289?

You can find a detailed procedure to find GCD of 341, 536, 70, 289 on our page.

3. How to find GCD of 341, 536, 70, 289 on a calculator?

You can find the GCD of 341, 536, 70, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.