GCD of 527, 840, 86, 152 Calculator

Given Input numbers are 527, 840, 86, 152

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

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

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 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 527, 840, 86, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 840, 86, 152 is 1.

Therefore, GCD of numbers 527, 840, 86, 152 is 1

Given Input Data is 527, 840, 86, 152

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

Prime Factorization of 527 is 17 x 31

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(527, 840) = 442680

GCD(527, 840) = ( 527 x 840 ) / 442680

GCD(527, 840) = 442680 / 442680

GCD(527, 840) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 527, 840, 86, 152 is 1

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1. What is the GCD of 527, 840, 86, 152?

GCD of 527, 840, 86, 152 is 1

2. Where do I get the detailed procedure to find GCD of 527, 840, 86, 152?

You can find a detailed procedure to find GCD of 527, 840, 86, 152 on our page.

3. How to find GCD of 527, 840, 86, 152 on a calculator?

You can find the GCD of 527, 840, 86, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.