GCD of 735, 600, 70, 334 Calculator

Given Input numbers are 735, 600, 70, 334

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

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 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 735, 600, 70, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 600, 70, 334 is 1.

Therefore, GCD of numbers 735, 600, 70, 334 is 1

Given Input Data is 735, 600, 70, 334

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

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 334 is 2 x 167

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(735, 600) = 29400

GCD(735, 600) = ( 735 x 600 ) / 29400

GCD(735, 600) = 441000 / 29400

GCD(735, 600) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 70

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

LCM(15, 70) = 210

GCD(15, 70) = ( 15 x 70 ) / 210

GCD(15, 70) = 1050 / 210

GCD(15, 70) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 334

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

LCM(5, 334) = 1670

GCD(5, 334) = ( 5 x 334 ) / 1670

GCD(5, 334) = 1670 / 1670

GCD(5, 334) = 1

GCD of 735, 600, 70, 334 is 1

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• GCD of 905, 697, 74, 911
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1. What is the GCD of 735, 600, 70, 334?

GCD of 735, 600, 70, 334 is 1

2. Where do I get the detailed procedure to find GCD of 735, 600, 70, 334?

You can find a detailed procedure to find GCD of 735, 600, 70, 334 on our page.

3. How to find GCD of 735, 600, 70, 334 on a calculator?

You can find the GCD of 735, 600, 70, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.