GCD of 705, 207, 134, 277 Calculator

Given Input numbers are 705, 207, 134, 277

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Greatest Common Divisior

We found the divisors of 705, 207, 134, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 207, 134, 277 is 1.

Therefore, GCD of numbers 705, 207, 134, 277 is 1

Given Input Data is 705, 207, 134, 277

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 134 is 2 x 67

Prime Factorization of 277 is 277

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(705, 207) = 48645

GCD(705, 207) = ( 705 x 207 ) / 48645

GCD(705, 207) = 145935 / 48645

GCD(705, 207) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 134

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

LCM(3, 134) = 402

GCD(3, 134) = ( 3 x 134 ) / 402

GCD(3, 134) = 402 / 402

GCD(3, 134) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 277

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

LCM(1, 277) = 277

GCD(1, 277) = ( 1 x 277 ) / 277

GCD(1, 277) = 277 / 277

GCD(1, 277) = 1

GCD of 705, 207, 134, 277 is 1

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1. What is the GCD of 705, 207, 134, 277?

GCD of 705, 207, 134, 277 is 1

2. Where do I get the detailed procedure to find GCD of 705, 207, 134, 277?

You can find a detailed procedure to find GCD of 705, 207, 134, 277 on our page.

3. How to find GCD of 705, 207, 134, 277 on a calculator?

You can find the GCD of 705, 207, 134, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.