GCD of 840, 525, 502, 755 Calculator

Given Input numbers are 840, 525, 502, 755

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 755

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

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 840, 525, 502, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 525, 502, 755 is 1.

Therefore, GCD of numbers 840, 525, 502, 755 is 1

Given Input Data is 840, 525, 502, 755

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 502 is 2 x 251

Prime Factorization of 755 is 5 x 151

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(840, 525) = 4200

GCD(840, 525) = ( 840 x 525 ) / 4200

GCD(840, 525) = 441000 / 4200

GCD(840, 525) = 105

Step2:

Here we consider the GCD from the above i.e. 105 as first number and the next as 502

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

LCM(105, 502) = 52710

GCD(105, 502) = ( 105 x 502 ) / 52710

GCD(105, 502) = 52710 / 52710

GCD(105, 502) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 840, 525, 502, 755 is 1

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1. What is the GCD of 840, 525, 502, 755?

GCD of 840, 525, 502, 755 is 1

2. Where do I get the detailed procedure to find GCD of 840, 525, 502, 755?

You can find a detailed procedure to find GCD of 840, 525, 502, 755 on our page.

3. How to find GCD of 840, 525, 502, 755 on a calculator?

You can find the GCD of 840, 525, 502, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.