GCD of 702, 735, 915, 890 Calculator

Given Input numbers are 702, 735, 915, 890

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

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 702, 735, 915, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 735, 915, 890 is 1.

Therefore, GCD of numbers 702, 735, 915, 890 is 1

Given Input Data is 702, 735, 915, 890

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 890 is 2 x 5 x 89

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(702, 735) = 171990

GCD(702, 735) = ( 702 x 735 ) / 171990

GCD(702, 735) = 515970 / 171990

GCD(702, 735) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 915

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

LCM(3, 915) = 915

GCD(3, 915) = ( 3 x 915 ) / 915

GCD(3, 915) = 2745 / 915

GCD(3, 915) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 890

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

LCM(3, 890) = 2670

GCD(3, 890) = ( 3 x 890 ) / 2670

GCD(3, 890) = 2670 / 2670

GCD(3, 890) = 1

GCD of 702, 735, 915, 890 is 1

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1. What is the GCD of 702, 735, 915, 890?

GCD of 702, 735, 915, 890 is 1

2. Where do I get the detailed procedure to find GCD of 702, 735, 915, 890?

You can find a detailed procedure to find GCD of 702, 735, 915, 890 on our page.

3. How to find GCD of 702, 735, 915, 890 on a calculator?

You can find the GCD of 702, 735, 915, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.