GCD of 260, 516, 236, 769 Calculator

Given Input numbers are 260, 516, 236, 769

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

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 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 260, 516, 236, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 516, 236, 769 is 1.

Therefore, GCD of numbers 260, 516, 236, 769 is 1

Given Input Data is 260, 516, 236, 769

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

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 769 is 769

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(260, 516) = 33540

GCD(260, 516) = ( 260 x 516 ) / 33540

GCD(260, 516) = 134160 / 33540

GCD(260, 516) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 236

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

LCM(4, 236) = 236

GCD(4, 236) = ( 4 x 236 ) / 236

GCD(4, 236) = 944 / 236

GCD(4, 236) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 769

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

LCM(4, 769) = 3076

GCD(4, 769) = ( 4 x 769 ) / 3076

GCD(4, 769) = 3076 / 3076

GCD(4, 769) = 1

GCD of 260, 516, 236, 769 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 192, 507, 126
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• GCD of 740, 578, 516, 251
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• GCD of 665, 970, 960, 139

1. What is the GCD of 260, 516, 236, 769?

GCD of 260, 516, 236, 769 is 1

2. Where do I get the detailed procedure to find GCD of 260, 516, 236, 769?

You can find a detailed procedure to find GCD of 260, 516, 236, 769 on our page.

3. How to find GCD of 260, 516, 236, 769 on a calculator?

You can find the GCD of 260, 516, 236, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.