GCD of 107, 262, 554, 369 Calculator

Given Input numbers are 107, 262, 554, 369

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 107, 262, 554, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 262, 554, 369 is 1.

Therefore, GCD of numbers 107, 262, 554, 369 is 1

Given Input Data is 107, 262, 554, 369

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

Prime Factorization of 107 is 107

Prime Factorization of 262 is 2 x 131

Prime Factorization of 554 is 2 x 277

Prime Factorization of 369 is 3 x 3 x 41

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(107, 262) = 28034

GCD(107, 262) = ( 107 x 262 ) / 28034

GCD(107, 262) = 28034 / 28034

GCD(107, 262) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 107, 262, 554, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 378, 316, 890, 689
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• GCD of 276, 480, 923, 501
• GCD of 458, 974, 865, 999

1. What is the GCD of 107, 262, 554, 369?

GCD of 107, 262, 554, 369 is 1

2. Where do I get the detailed procedure to find GCD of 107, 262, 554, 369?

You can find a detailed procedure to find GCD of 107, 262, 554, 369 on our page.

3. How to find GCD of 107, 262, 554, 369 on a calculator?

You can find the GCD of 107, 262, 554, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.