GCD of 148, 700, 19, 735 Calculator

Given Input numbers are 148, 700, 19, 735

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

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

Greatest Common Divisior

We found the divisors of 148, 700, 19, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 700, 19, 735 is 1.

Therefore, GCD of numbers 148, 700, 19, 735 is 1

Given Input Data is 148, 700, 19, 735

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 19 is 19

Prime Factorization of 735 is 3 x 5 x 7 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(148, 700) = 25900

GCD(148, 700) = ( 148 x 700 ) / 25900

GCD(148, 700) = 103600 / 25900

GCD(148, 700) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 19

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

LCM(4, 19) = 76

GCD(4, 19) = ( 4 x 19 ) / 76

GCD(4, 19) = 76 / 76

GCD(4, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 148, 700, 19, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 353, 735, 34, 730
• GCD of 284, 568, 28, 101
• GCD of 817, 155, 27, 770
• GCD of 991, 221, 77, 512
• GCD of 462, 140, 10, 583

1. What is the GCD of 148, 700, 19, 735?

GCD of 148, 700, 19, 735 is 1

2. Where do I get the detailed procedure to find GCD of 148, 700, 19, 735?

You can find a detailed procedure to find GCD of 148, 700, 19, 735 on our page.

3. How to find GCD of 148, 700, 19, 735 on a calculator?

You can find the GCD of 148, 700, 19, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.