GCD of 210, 690, 135, 944 Calculator

Given Input numbers are 210, 690, 135, 944

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 210, 690, 135, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 690, 135, 944 is 1.

Therefore, GCD of numbers 210, 690, 135, 944 is 1

Given Input Data is 210, 690, 135, 944

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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(210, 690) = 4830

GCD(210, 690) = ( 210 x 690 ) / 4830

GCD(210, 690) = 144900 / 4830

GCD(210, 690) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 135

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

LCM(30, 135) = 270

GCD(30, 135) = ( 30 x 135 ) / 270

GCD(30, 135) = 4050 / 270

GCD(30, 135) = 15

Step3:

Here we consider the GCD from the above i.e. 15 as first number and the next as 944

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

LCM(15, 944) = 14160

GCD(15, 944) = ( 15 x 944 ) / 14160

GCD(15, 944) = 14160 / 14160

GCD(15, 944) = 1

GCD of 210, 690, 135, 944 is 1

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• GCD of 947, 277, 552, 921
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1. What is the GCD of 210, 690, 135, 944?

GCD of 210, 690, 135, 944 is 1

2. Where do I get the detailed procedure to find GCD of 210, 690, 135, 944?

You can find a detailed procedure to find GCD of 210, 690, 135, 944 on our page.

3. How to find GCD of 210, 690, 135, 944 on a calculator?

You can find the GCD of 210, 690, 135, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.