GCD of 69, 549, 960, 134 Calculator

Given Input numbers are 69, 549, 960, 134

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 69, 549, 960, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 549, 960, 134 is 1.

Therefore, GCD of numbers 69, 549, 960, 134 is 1

Given Input Data is 69, 549, 960, 134

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 134 is 2 x 67

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(69, 549) = 12627

GCD(69, 549) = ( 69 x 549 ) / 12627

GCD(69, 549) = 37881 / 12627

GCD(69, 549) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 960

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

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

GCD(3, 960) = 2880 / 960

GCD(3, 960) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 134

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

LCM(3, 134) = 402

GCD(3, 134) = ( 3 x 134 ) / 402

GCD(3, 134) = 402 / 402

GCD(3, 134) = 1

GCD of 69, 549, 960, 134 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 671, 637, 437
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• GCD of 60, 960, 420, 520
• GCD of 32, 290, 281, 935
• GCD of 28, 157, 335, 467

1. What is the GCD of 69, 549, 960, 134?

GCD of 69, 549, 960, 134 is 1

2. Where do I get the detailed procedure to find GCD of 69, 549, 960, 134?

You can find a detailed procedure to find GCD of 69, 549, 960, 134 on our page.

3. How to find GCD of 69, 549, 960, 134 on a calculator?

You can find the GCD of 69, 549, 960, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.