GCD of 525, 690, 31, 490 Calculator

Given Input numbers are 525, 690, 31, 490

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 525, 690, 31, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 690, 31, 490 is 1.

Therefore, GCD of numbers 525, 690, 31, 490 is 1

Given Input Data is 525, 690, 31, 490

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 31 is 31

Prime Factorization of 490 is 2 x 5 x 7 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(525, 690) = 24150

GCD(525, 690) = ( 525 x 690 ) / 24150

GCD(525, 690) = 362250 / 24150

GCD(525, 690) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 31

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

LCM(15, 31) = 465

GCD(15, 31) = ( 15 x 31 ) / 465

GCD(15, 31) = 465 / 465

GCD(15, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 525, 690, 31, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 965, 13, 901
• GCD of 166, 229, 37, 617
• GCD of 210, 443, 26, 397
• GCD of 770, 628, 92, 690
• GCD of 720, 218, 81, 619

1. What is the GCD of 525, 690, 31, 490?

GCD of 525, 690, 31, 490 is 1

2. Where do I get the detailed procedure to find GCD of 525, 690, 31, 490?

You can find a detailed procedure to find GCD of 525, 690, 31, 490 on our page.

3. How to find GCD of 525, 690, 31, 490 on a calculator?

You can find the GCD of 525, 690, 31, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.