GCD of 761, 686, 533, 253 Calculator

Given Input numbers are 761, 686, 533, 253

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

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 761, 686, 533, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 761, 686, 533, 253 is 1.

Therefore, GCD of numbers 761, 686, 533, 253 is 1

Given Input Data is 761, 686, 533, 253

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

Prime Factorization of 761 is 761

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 533 is 13 x 41

Prime Factorization of 253 is 11 x 23

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(761, 686) = 522046

GCD(761, 686) = ( 761 x 686 ) / 522046

GCD(761, 686) = 522046 / 522046

GCD(761, 686) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 533

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

LCM(1, 533) = 533

GCD(1, 533) = ( 1 x 533 ) / 533

GCD(1, 533) = 533 / 533

GCD(1, 533) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 761, 686, 533, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 521, 205, 891
• GCD of 745, 318, 269, 533
• GCD of 280, 445, 207, 164
• GCD of 347, 643, 763, 214
• GCD of 706, 334, 251, 382

1. What is the GCD of 761, 686, 533, 253?

GCD of 761, 686, 533, 253 is 1

2. Where do I get the detailed procedure to find GCD of 761, 686, 533, 253?

You can find a detailed procedure to find GCD of 761, 686, 533, 253 on our page.

3. How to find GCD of 761, 686, 533, 253 on a calculator?

You can find the GCD of 761, 686, 533, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.