GCD of 755, 890, 655, 505 Calculator

Given Input numbers are 755, 890, 655, 505

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

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

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 755, 890, 655, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 890, 655, 505 is 5.

Therefore, GCD of numbers 755, 890, 655, 505 is 5

Given Input Data is 755, 890, 655, 505

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 655 is 5 x 131

Prime Factorization of 505 is 5 x 101

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(755, 890) = 134390

GCD(755, 890) = ( 755 x 890 ) / 134390

GCD(755, 890) = 671950 / 134390

GCD(755, 890) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 655

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

LCM(5, 655) = 655

GCD(5, 655) = ( 5 x 655 ) / 655

GCD(5, 655) = 3275 / 655

GCD(5, 655) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 505

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

LCM(5, 505) = 505

GCD(5, 505) = ( 5 x 505 ) / 505

GCD(5, 505) = 2525 / 505

GCD(5, 505) = 5

GCD of 755, 890, 655, 505 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 800, 288, 547
• GCD of 721, 201, 391, 502
• GCD of 396, 263, 920, 141
• GCD of 363, 201, 890, 577
• GCD of 959, 507, 193, 880

1. What is the GCD of 755, 890, 655, 505?

GCD of 755, 890, 655, 505 is 5

2. Where do I get the detailed procedure to find GCD of 755, 890, 655, 505?

You can find a detailed procedure to find GCD of 755, 890, 655, 505 on our page.

3. How to find GCD of 755, 890, 655, 505 on a calculator?

You can find the GCD of 755, 890, 655, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.