GCD of 775, 746, 292, 505 Calculator

Given Input numbers are 775, 746, 292, 505

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

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 775, 746, 292, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 746, 292, 505 is 1.

Therefore, GCD of numbers 775, 746, 292, 505 is 1

Given Input Data is 775, 746, 292, 505

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

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 746 is 2 x 373

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 505 is 5 x 101

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(775, 746) = 578150

GCD(775, 746) = ( 775 x 746 ) / 578150

GCD(775, 746) = 578150 / 578150

GCD(775, 746) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 775, 746, 292, 505 is 1

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1. What is the GCD of 775, 746, 292, 505?

GCD of 775, 746, 292, 505 is 1

2. Where do I get the detailed procedure to find GCD of 775, 746, 292, 505?

You can find a detailed procedure to find GCD of 775, 746, 292, 505 on our page.

3. How to find GCD of 775, 746, 292, 505 on a calculator?

You can find the GCD of 775, 746, 292, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.