GCD of 695, 175, 34, 987 Calculator

Given Input numbers are 695, 175, 34, 987

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

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 695, 175, 34, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 175, 34, 987 is 1.

Therefore, GCD of numbers 695, 175, 34, 987 is 1

Given Input Data is 695, 175, 34, 987

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

Prime Factorization of 695 is 5 x 139

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 34 is 2 x 17

Prime Factorization of 987 is 3 x 7 x 47

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(695, 175) = 24325

GCD(695, 175) = ( 695 x 175 ) / 24325

GCD(695, 175) = 121625 / 24325

GCD(695, 175) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 34

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

LCM(5, 34) = 170

GCD(5, 34) = ( 5 x 34 ) / 170

GCD(5, 34) = 170 / 170

GCD(5, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 695, 175, 34, 987 is 1

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1. What is the GCD of 695, 175, 34, 987?

GCD of 695, 175, 34, 987 is 1

2. Where do I get the detailed procedure to find GCD of 695, 175, 34, 987?

You can find a detailed procedure to find GCD of 695, 175, 34, 987 on our page.

3. How to find GCD of 695, 175, 34, 987 on a calculator?

You can find the GCD of 695, 175, 34, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.