GCD of 535, 735, 935 Calculator

Given Input numbers are 535, 735, 935

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 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Greatest Common Divisior

We found the divisors of 535, 735, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 735, 935 is 5.

Therefore, GCD of numbers 535, 735, 935 is 5

Given Input Data is 535, 735, 935

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

Prime Factorization of 535 is 5 x 107

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 935 is 5 x 11 x 17

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(535, 735) = 78645

GCD(535, 735) = ( 535 x 735 ) / 78645

GCD(535, 735) = 393225 / 78645

GCD(535, 735) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 935

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

LCM(5, 935) = 935

GCD(5, 935) = ( 5 x 935 ) / 935

GCD(5, 935) = 4675 / 935

GCD(5, 935) = 5

GCD of 535, 735, 935 is 5

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1. What is the GCD of 535, 735, 935?

GCD of 535, 735, 935 is 5

2. Where do I get the detailed procedure to find GCD of 535, 735, 935?

You can find a detailed procedure to find GCD of 535, 735, 935 on our page.

3. How to find GCD of 535, 735, 935 on a calculator?

You can find the GCD of 535, 735, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.