GCD of 735, 434, 48, 701 Calculator

Given Input numbers are 735, 434, 48, 701

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 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Greatest Common Divisior

We found the divisors of 735, 434, 48, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 434, 48, 701 is 1.

Therefore, GCD of numbers 735, 434, 48, 701 is 1

Given Input Data is 735, 434, 48, 701

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 434 is 2 x 7 x 31

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 701 is 701

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, 434) = 45570

GCD(735, 434) = ( 735 x 434 ) / 45570

GCD(735, 434) = 318990 / 45570

GCD(735, 434) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 48

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

LCM(7, 48) = 336

GCD(7, 48) = ( 7 x 48 ) / 336

GCD(7, 48) = 336 / 336

GCD(7, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 701

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

LCM(1, 701) = 701

GCD(1, 701) = ( 1 x 701 ) / 701

GCD(1, 701) = 701 / 701

GCD(1, 701) = 1

GCD of 735, 434, 48, 701 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 940, 690, 64, 611
• GCD of 814, 404, 88, 414
• GCD of 443, 350, 88, 865
• GCD of 852, 911, 53, 165
• GCD of 350, 612, 80, 779

1. What is the GCD of 735, 434, 48, 701?

GCD of 735, 434, 48, 701 is 1

2. Where do I get the detailed procedure to find GCD of 735, 434, 48, 701?

You can find a detailed procedure to find GCD of 735, 434, 48, 701 on our page.

3. How to find GCD of 735, 434, 48, 701 on a calculator?

You can find the GCD of 735, 434, 48, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.