GCD of 749, 277, 28, 172 Calculator

Given Input numbers are 749, 277, 28, 172

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 28

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

1, 2, 4, 7, 14, 28

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 749, 277, 28, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 277, 28, 172 is 1.

Therefore, GCD of numbers 749, 277, 28, 172 is 1

Given Input Data is 749, 277, 28, 172

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 277 is 277

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 172 is 2 x 2 x 43

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(749, 277) = 207473

GCD(749, 277) = ( 749 x 277 ) / 207473

GCD(749, 277) = 207473 / 207473

GCD(749, 277) = 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 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 749, 277, 28, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 761, 784, 24, 938
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1. What is the GCD of 749, 277, 28, 172?

GCD of 749, 277, 28, 172 is 1

2. Where do I get the detailed procedure to find GCD of 749, 277, 28, 172?

You can find a detailed procedure to find GCD of 749, 277, 28, 172 on our page.

3. How to find GCD of 749, 277, 28, 172 on a calculator?

You can find the GCD of 749, 277, 28, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.