GCD of 917, 130, 67, 705 Calculator

Given Input numbers are 917, 130, 67, 705

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

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 705

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

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

Greatest Common Divisior

We found the divisors of 917, 130, 67, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 130, 67, 705 is 1.

Therefore, GCD of numbers 917, 130, 67, 705 is 1

Given Input Data is 917, 130, 67, 705

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 67 is 67

Prime Factorization of 705 is 3 x 5 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(917, 130) = 119210

GCD(917, 130) = ( 917 x 130 ) / 119210

GCD(917, 130) = 119210 / 119210

GCD(917, 130) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 917, 130, 67, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 748, 311, 49, 596
• GCD of 704, 468, 18, 726
• GCD of 633, 327, 65, 631
• GCD of 687, 102, 95, 322
• GCD of 556, 893, 64, 926

1. What is the GCD of 917, 130, 67, 705?

GCD of 917, 130, 67, 705 is 1

2. Where do I get the detailed procedure to find GCD of 917, 130, 67, 705?

You can find a detailed procedure to find GCD of 917, 130, 67, 705 on our page.

3. How to find GCD of 917, 130, 67, 705 on a calculator?

You can find the GCD of 917, 130, 67, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.