GCD of 675, 416, 77, 134 Calculator

Given Input numbers are 675, 416, 77, 134

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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 675, 416, 77, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 416, 77, 134 is 1.

Therefore, GCD of numbers 675, 416, 77, 134 is 1

Given Input Data is 675, 416, 77, 134

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 77 is 7 x 11

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(675, 416) = 280800

GCD(675, 416) = ( 675 x 416 ) / 280800

GCD(675, 416) = 280800 / 280800

GCD(675, 416) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

GCD of 675, 416, 77, 134 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 457, 58, 860
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• GCD of 212, 338, 65, 711
• GCD of 396, 116, 28, 255

1. What is the GCD of 675, 416, 77, 134?

GCD of 675, 416, 77, 134 is 1

2. Where do I get the detailed procedure to find GCD of 675, 416, 77, 134?

You can find a detailed procedure to find GCD of 675, 416, 77, 134 on our page.

3. How to find GCD of 675, 416, 77, 134 on a calculator?

You can find the GCD of 675, 416, 77, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.