GCD of 53, 879, 976, 702 Calculator

Given Input numbers are 53, 879, 976, 702

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 53, 879, 976, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 879, 976, 702 is 1.

Therefore, GCD of numbers 53, 879, 976, 702 is 1

Given Input Data is 53, 879, 976, 702

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

Prime Factorization of 53 is 53

Prime Factorization of 879 is 3 x 293

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(53, 879) = 46587

GCD(53, 879) = ( 53 x 879 ) / 46587

GCD(53, 879) = 46587 / 46587

GCD(53, 879) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 976

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

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

GCD(1, 976) = 976 / 976

GCD(1, 976) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 53, 879, 976, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 566, 218, 603
• GCD of 41, 356, 284, 405
• GCD of 26, 651, 453, 414
• GCD of 13, 523, 797, 360
• GCD of 40, 408, 353, 384

1. What is the GCD of 53, 879, 976, 702?

GCD of 53, 879, 976, 702 is 1

2. Where do I get the detailed procedure to find GCD of 53, 879, 976, 702?

You can find a detailed procedure to find GCD of 53, 879, 976, 702 on our page.

3. How to find GCD of 53, 879, 976, 702 on a calculator?

You can find the GCD of 53, 879, 976, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.