GCD of 154, 680, 920, 734 Calculator

Given Input numbers are 154, 680, 920, 734

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 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 154, 680, 920, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 680, 920, 734 is 2.

Therefore, GCD of numbers 154, 680, 920, 734 is 2

Given Input Data is 154, 680, 920, 734

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 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 734 is 2 x 367

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 680) = 52360

GCD(154, 680) = ( 154 x 680 ) / 52360

GCD(154, 680) = 104720 / 52360

GCD(154, 680) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 920

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

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

GCD(2, 920) = 1840 / 920

GCD(2, 920) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 734

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

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

GCD(2, 734) = 1468 / 734

GCD(2, 734) = 2

GCD of 154, 680, 920, 734 is 2

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1. What is the GCD of 154, 680, 920, 734?

GCD of 154, 680, 920, 734 is 2

2. Where do I get the detailed procedure to find GCD of 154, 680, 920, 734?

You can find a detailed procedure to find GCD of 154, 680, 920, 734 on our page.

3. How to find GCD of 154, 680, 920, 734 on a calculator?

You can find the GCD of 154, 680, 920, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.