GCD of 900, 148, 60, 707 Calculator

Given Input numbers are 900, 148, 60, 707

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 900, 148, 60, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 148, 60, 707 is 1.

Therefore, GCD of numbers 900, 148, 60, 707 is 1

Given Input Data is 900, 148, 60, 707

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 707 is 7 x 101

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(900, 148) = 33300

GCD(900, 148) = ( 900 x 148 ) / 33300

GCD(900, 148) = 133200 / 33300

GCD(900, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 60

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

LCM(4, 60) = 60

GCD(4, 60) = ( 4 x 60 ) / 60

GCD(4, 60) = 240 / 60

GCD(4, 60) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 707

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

LCM(4, 707) = 2828

GCD(4, 707) = ( 4 x 707 ) / 2828

GCD(4, 707) = 2828 / 2828

GCD(4, 707) = 1

GCD of 900, 148, 60, 707 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 517, 749, 32, 490
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• GCD of 601, 549, 99, 646
• GCD of 644, 619, 19, 805
• GCD of 913, 491, 59, 817

1. What is the GCD of 900, 148, 60, 707?

GCD of 900, 148, 60, 707 is 1

2. Where do I get the detailed procedure to find GCD of 900, 148, 60, 707?

You can find a detailed procedure to find GCD of 900, 148, 60, 707 on our page.

3. How to find GCD of 900, 148, 60, 707 on a calculator?

You can find the GCD of 900, 148, 60, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.