GCD of 735, 230, 915, 748 Calculator

Given Input numbers are 735, 230, 915, 748

In the factoring method, we have to find the divisors of all numbers

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

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

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (735, 230, 915, 748) = 1.

Given numbers are 735, 230, 915, 748

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 230 are 2 x 5 x 23

Prime factors of 915 are 3 x 5 x 61

Prime factors of 748 are 2 x 2 x 11 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 735, 230, 915, 748

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(735, 230) = 33810

GCD(735, 230) = ( 735 x 230 ) / 33810

= 735 / 230

= 735

Step2:

LCM(5, 915) = 915

GCD(5, 915) = ( 5 x 915 ) / 915

= 5 / 915

= 5

Step3:

LCM(5, 748) = 3740

GCD(5, 748) = ( 5 x 748 ) / 3740

= 5 / 748

= 5

So, Greatest Common Divisor of 735, 230, 915, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 449, 319, 424
• GCD of 239, 397, 341, 652
• GCD of 766, 638, 579, 100
• GCD of 634, 181, 149, 449
• GCD of 833, 564, 409, 806

Given numbers are 735, 230, 915, 748
The greatest common divisor of numbers 735, 230, 915, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 230, 915, 748 is 1.

1. What is the GCD of 735, 230, 915, 748?

GCD of given numbers 735, 230, 915, 748 is 1

2. How to calculate the greatest common divisor of 735, 230, 915, 748?

We can find the highest common divisor of 735, 230, 915, 748 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 735, 230, 915, 748 i.e 1.

3. How can I use the GCD of 735, 230, 915, 748Calculator?

Out the numbers 735, 230, 915, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.