GCD of 350, 950, 660, 745 Calculator

Given Input numbers are 350, 950, 660, 745

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 350, 950, 660, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 950, 660, 745 is 5.

Therefore, GCD of numbers 350, 950, 660, 745 is 5

Given Input Data is 350, 950, 660, 745

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 745 is 5 x 149

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(350, 950) = 6650

GCD(350, 950) = ( 350 x 950 ) / 6650

GCD(350, 950) = 332500 / 6650

GCD(350, 950) = 50

Step2:

Here we consider the GCD from the above i.e. 50 as first number and the next as 660

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

LCM(50, 660) = 3300

GCD(50, 660) = ( 50 x 660 ) / 3300

GCD(50, 660) = 33000 / 3300

GCD(50, 660) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 745

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

LCM(10, 745) = 1490

GCD(10, 745) = ( 10 x 745 ) / 1490

GCD(10, 745) = 7450 / 1490

GCD(10, 745) = 5

GCD of 350, 950, 660, 745 is 5

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1. What is the GCD of 350, 950, 660, 745?

GCD of 350, 950, 660, 745 is 5

2. Where do I get the detailed procedure to find GCD of 350, 950, 660, 745?

You can find a detailed procedure to find GCD of 350, 950, 660, 745 on our page.

3. How to find GCD of 350, 950, 660, 745 on a calculator?

You can find the GCD of 350, 950, 660, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.