GCD of 370, 705, 697, 101 Calculator

Given Input numbers are 370, 705, 697, 101

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

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

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 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 370, 705, 697, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 705, 697, 101 is 1.

Therefore, GCD of numbers 370, 705, 697, 101 is 1

Given Input Data is 370, 705, 697, 101

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 697 is 17 x 41

Prime Factorization of 101 is 101

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(370, 705) = 52170

GCD(370, 705) = ( 370 x 705 ) / 52170

GCD(370, 705) = 260850 / 52170

GCD(370, 705) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 697

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

LCM(5, 697) = 3485

GCD(5, 697) = ( 5 x 697 ) / 3485

GCD(5, 697) = 3485 / 3485

GCD(5, 697) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 370, 705, 697, 101 is 1

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1. What is the GCD of 370, 705, 697, 101?

GCD of 370, 705, 697, 101 is 1

2. Where do I get the detailed procedure to find GCD of 370, 705, 697, 101?

You can find a detailed procedure to find GCD of 370, 705, 697, 101 on our page.

3. How to find GCD of 370, 705, 697, 101 on a calculator?

You can find the GCD of 370, 705, 697, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.