GCD of 224, 740, 624, 690 Calculator

Given Input numbers are 224, 740, 624, 690

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 224, 740, 624, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 740, 624, 690 is 2.

Therefore, GCD of numbers 224, 740, 624, 690 is 2

Given Input Data is 224, 740, 624, 690

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(224, 740) = 41440

GCD(224, 740) = ( 224 x 740 ) / 41440

GCD(224, 740) = 165760 / 41440

GCD(224, 740) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 624

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

LCM(4, 624) = 624

GCD(4, 624) = ( 4 x 624 ) / 624

GCD(4, 624) = 2496 / 624

GCD(4, 624) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 690

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

LCM(4, 690) = 1380

GCD(4, 690) = ( 4 x 690 ) / 1380

GCD(4, 690) = 2760 / 1380

GCD(4, 690) = 2

GCD of 224, 740, 624, 690 is 2

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1. What is the GCD of 224, 740, 624, 690?

GCD of 224, 740, 624, 690 is 2

2. Where do I get the detailed procedure to find GCD of 224, 740, 624, 690?

You can find a detailed procedure to find GCD of 224, 740, 624, 690 on our page.

3. How to find GCD of 224, 740, 624, 690 on a calculator?

You can find the GCD of 224, 740, 624, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.