GCD of 416, 750, 734, 146 Calculator

Given Input numbers are 416, 750, 734, 146

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 734

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

1, 2, 367, 734

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 416, 750, 734, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 750, 734, 146 is 2.

Therefore, GCD of numbers 416, 750, 734, 146 is 2

Given Input Data is 416, 750, 734, 146

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 734 is 2 x 367

Prime Factorization of 146 is 2 x 73

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(416, 750) = 156000

GCD(416, 750) = ( 416 x 750 ) / 156000

GCD(416, 750) = 312000 / 156000

GCD(416, 750) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 146

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

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

GCD(2, 146) = 292 / 146

GCD(2, 146) = 2

GCD of 416, 750, 734, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 136, 173, 993
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• GCD of 170, 193, 660, 896
• GCD of 619, 763, 132, 630

1. What is the GCD of 416, 750, 734, 146?

GCD of 416, 750, 734, 146 is 2

2. Where do I get the detailed procedure to find GCD of 416, 750, 734, 146?

You can find a detailed procedure to find GCD of 416, 750, 734, 146 on our page.

3. How to find GCD of 416, 750, 734, 146 on a calculator?

You can find the GCD of 416, 750, 734, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.