GCD of 154, 840, 42, 457 Calculator

Given Input numbers are 154, 840, 42, 457

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 154, 840, 42, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 840, 42, 457 is 1.

Therefore, GCD of numbers 154, 840, 42, 457 is 1

Given Input Data is 154, 840, 42, 457

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 457 is 457

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(154, 840) = 9240

GCD(154, 840) = ( 154 x 840 ) / 9240

GCD(154, 840) = 129360 / 9240

GCD(154, 840) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 42

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

LCM(14, 42) = 42

GCD(14, 42) = ( 14 x 42 ) / 42

GCD(14, 42) = 588 / 42

GCD(14, 42) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 457

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

LCM(14, 457) = 6398

GCD(14, 457) = ( 14 x 457 ) / 6398

GCD(14, 457) = 6398 / 6398

GCD(14, 457) = 1

GCD of 154, 840, 42, 457 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 965, 716, 76, 910
• GCD of 804, 359, 22, 620
• GCD of 922, 469, 33, 859
• GCD of 574, 830, 38, 400
• GCD of 212, 344, 15, 185

1. What is the GCD of 154, 840, 42, 457?

GCD of 154, 840, 42, 457 is 1

2. Where do I get the detailed procedure to find GCD of 154, 840, 42, 457?

You can find a detailed procedure to find GCD of 154, 840, 42, 457 on our page.

3. How to find GCD of 154, 840, 42, 457 on a calculator?

You can find the GCD of 154, 840, 42, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.