GCD of 150, 700, 34, 504 Calculator

Given Input numbers are 150, 700, 34, 504

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 150, 700, 34, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 700, 34, 504 is 2.

Therefore, GCD of numbers 150, 700, 34, 504 is 2

Given Input Data is 150, 700, 34, 504

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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(150, 700) = 2100

GCD(150, 700) = ( 150 x 700 ) / 2100

GCD(150, 700) = 105000 / 2100

GCD(150, 700) = 50

Step2:

Here we consider the GCD from the above i.e. 50 as first number and the next as 34

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

LCM(50, 34) = 850

GCD(50, 34) = ( 50 x 34 ) / 850

GCD(50, 34) = 1700 / 850

GCD(50, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 504

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

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

GCD(2, 504) = 1008 / 504

GCD(2, 504) = 2

GCD of 150, 700, 34, 504 is 2

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1. What is the GCD of 150, 700, 34, 504?

GCD of 150, 700, 34, 504 is 2

2. Where do I get the detailed procedure to find GCD of 150, 700, 34, 504?

You can find a detailed procedure to find GCD of 150, 700, 34, 504 on our page.

3. How to find GCD of 150, 700, 34, 504 on a calculator?

You can find the GCD of 150, 700, 34, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.