GCD of 770, 535, 85, 505 Calculator

Given Input numbers are 770, 535, 85, 505

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

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

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 770, 535, 85, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 535, 85, 505 is 5.

Therefore, GCD of numbers 770, 535, 85, 505 is 5

Given Input Data is 770, 535, 85, 505

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

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 535 is 5 x 107

Prime Factorization of 85 is 5 x 17

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(770, 535) = 82390

GCD(770, 535) = ( 770 x 535 ) / 82390

GCD(770, 535) = 411950 / 82390

GCD(770, 535) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 85

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

LCM(5, 85) = 85

GCD(5, 85) = ( 5 x 85 ) / 85

GCD(5, 85) = 425 / 85

GCD(5, 85) = 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 770, 535, 85, 505 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 239, 86, 376
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• GCD of 273, 987, 87, 937
• GCD of 262, 865, 18, 839
• GCD of 667, 920, 24, 391

1. What is the GCD of 770, 535, 85, 505?

GCD of 770, 535, 85, 505 is 5

2. Where do I get the detailed procedure to find GCD of 770, 535, 85, 505?

You can find a detailed procedure to find GCD of 770, 535, 85, 505 on our page.

3. How to find GCD of 770, 535, 85, 505 on a calculator?

You can find the GCD of 770, 535, 85, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.