GCD of 345, 137, 529, 700 Calculator

Given Input numbers are 345, 137, 529, 700

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 345, 137, 529, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 137, 529, 700 is 1.

Therefore, GCD of numbers 345, 137, 529, 700 is 1

Given Input Data is 345, 137, 529, 700

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 137 is 137

Prime Factorization of 529 is 23 x 23

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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(345, 137) = 47265

GCD(345, 137) = ( 345 x 137 ) / 47265

GCD(345, 137) = 47265 / 47265

GCD(345, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 345, 137, 529, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 764, 521, 310, 676
• GCD of 956, 485, 891, 167
• GCD of 669, 372, 678, 388
• GCD of 310, 635, 316, 880
• GCD of 254, 155, 244, 781

1. What is the GCD of 345, 137, 529, 700?

GCD of 345, 137, 529, 700 is 1

2. Where do I get the detailed procedure to find GCD of 345, 137, 529, 700?

You can find a detailed procedure to find GCD of 345, 137, 529, 700 on our page.

3. How to find GCD of 345, 137, 529, 700 on a calculator?

You can find the GCD of 345, 137, 529, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.