GCD of 854, 761, 28, 149 Calculator

Given Input numbers are 854, 761, 28, 149

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 854, 761, 28, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 761, 28, 149 is 1.

Therefore, GCD of numbers 854, 761, 28, 149 is 1

Given Input Data is 854, 761, 28, 149

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 761 is 761

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 149 is 149

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(854, 761) = 649894

GCD(854, 761) = ( 854 x 761 ) / 649894

GCD(854, 761) = 649894 / 649894

GCD(854, 761) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 854, 761, 28, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 608, 36, 764
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• GCD of 547, 249, 26, 251
• GCD of 298, 981, 29, 438
• GCD of 107, 198, 37, 784

1. What is the GCD of 854, 761, 28, 149?

GCD of 854, 761, 28, 149 is 1

2. Where do I get the detailed procedure to find GCD of 854, 761, 28, 149?

You can find a detailed procedure to find GCD of 854, 761, 28, 149 on our page.

3. How to find GCD of 854, 761, 28, 149 on a calculator?

You can find the GCD of 854, 761, 28, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.