GCD of 75, 265, 737, 105 Calculator

Given Input numbers are 75, 265, 737, 105

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 75, 265, 737, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 265, 737, 105 is 1.

Therefore, GCD of numbers 75, 265, 737, 105 is 1

Given Input Data is 75, 265, 737, 105

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 265 is 5 x 53

Prime Factorization of 737 is 11 x 67

Prime Factorization of 105 is 3 x 5 x 7

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(75, 265) = 3975

GCD(75, 265) = ( 75 x 265 ) / 3975

GCD(75, 265) = 19875 / 3975

GCD(75, 265) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 737

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

LCM(5, 737) = 3685

GCD(5, 737) = ( 5 x 737 ) / 3685

GCD(5, 737) = 3685 / 3685

GCD(5, 737) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 75, 265, 737, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 899, 453, 904
• GCD of 72, 351, 680, 585
• GCD of 29, 207, 455, 387
• GCD of 23, 599, 860, 967
• GCD of 29, 165, 690, 556

1. What is the GCD of 75, 265, 737, 105?

GCD of 75, 265, 737, 105 is 1

2. Where do I get the detailed procedure to find GCD of 75, 265, 737, 105?

You can find a detailed procedure to find GCD of 75, 265, 737, 105 on our page.

3. How to find GCD of 75, 265, 737, 105 on a calculator?

You can find the GCD of 75, 265, 737, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.