GCD of 742, 529, 260, 967 Calculator

Given Input numbers are 742, 529, 260, 967

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 529

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

1, 23, 529

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 742, 529, 260, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 529, 260, 967 is 1.

Therefore, GCD of numbers 742, 529, 260, 967 is 1

Given Input Data is 742, 529, 260, 967

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 529 is 23 x 23

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 967 is 967

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(742, 529) = 392518

GCD(742, 529) = ( 742 x 529 ) / 392518

GCD(742, 529) = 392518 / 392518

GCD(742, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 742, 529, 260, 967 is 1

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1. What is the GCD of 742, 529, 260, 967?

GCD of 742, 529, 260, 967 is 1

2. Where do I get the detailed procedure to find GCD of 742, 529, 260, 967?

You can find a detailed procedure to find GCD of 742, 529, 260, 967 on our page.

3. How to find GCD of 742, 529, 260, 967 on a calculator?

You can find the GCD of 742, 529, 260, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.