GCD of 776, 762, 562 Calculator

Given Input numbers are 776, 762, 562

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

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 776, 762, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 762, 562 is 2.

Therefore, GCD of numbers 776, 762, 562 is 2

Given Input Data is 776, 762, 562

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

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 562 is 2 x 281

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(776, 762) = 295656

GCD(776, 762) = ( 776 x 762 ) / 295656

GCD(776, 762) = 591312 / 295656

GCD(776, 762) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 562

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

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

GCD(2, 562) = 1124 / 562

GCD(2, 562) = 2

GCD of 776, 762, 562 is 2

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1. What is the GCD of 776, 762, 562?

GCD of 776, 762, 562 is 2

2. Where do I get the detailed procedure to find GCD of 776, 762, 562?

You can find a detailed procedure to find GCD of 776, 762, 562 on our page.

3. How to find GCD of 776, 762, 562 on a calculator?

You can find the GCD of 776, 762, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.