GCD of 535, 480, 50, 114 Calculator

Given Input numbers are 535, 480, 50, 114

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

Divisors of 535

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

1, 5, 107, 535

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 535, 480, 50, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 480, 50, 114 is 1.

Therefore, GCD of numbers 535, 480, 50, 114 is 1

Given Input Data is 535, 480, 50, 114

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

Prime Factorization of 535 is 5 x 107

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 114 is 2 x 3 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(535, 480) = 51360

GCD(535, 480) = ( 535 x 480 ) / 51360

GCD(535, 480) = 256800 / 51360

GCD(535, 480) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 50

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

LCM(5, 50) = 50

GCD(5, 50) = ( 5 x 50 ) / 50

GCD(5, 50) = 250 / 50

GCD(5, 50) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 114

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

LCM(5, 114) = 570

GCD(5, 114) = ( 5 x 114 ) / 570

GCD(5, 114) = 570 / 570

GCD(5, 114) = 1

GCD of 535, 480, 50, 114 is 1

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• GCD of 847, 956, 68, 423
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1. What is the GCD of 535, 480, 50, 114?

GCD of 535, 480, 50, 114 is 1

2. Where do I get the detailed procedure to find GCD of 535, 480, 50, 114?

You can find a detailed procedure to find GCD of 535, 480, 50, 114 on our page.

3. How to find GCD of 535, 480, 50, 114 on a calculator?

You can find the GCD of 535, 480, 50, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.