GCD of 125, 710, 16, 754 Calculator

Given Input numbers are 125, 710, 16, 754

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 125, 710, 16, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 710, 16, 754 is 1.

Therefore, GCD of numbers 125, 710, 16, 754 is 1

Given Input Data is 125, 710, 16, 754

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 754 is 2 x 13 x 29

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(125, 710) = 17750

GCD(125, 710) = ( 125 x 710 ) / 17750

GCD(125, 710) = 88750 / 17750

GCD(125, 710) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 16

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

LCM(5, 16) = 80

GCD(5, 16) = ( 5 x 16 ) / 80

GCD(5, 16) = 80 / 80

GCD(5, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 125, 710, 16, 754 is 1

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• GCD of 141, 730, 79, 865
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1. What is the GCD of 125, 710, 16, 754?

GCD of 125, 710, 16, 754 is 1

2. Where do I get the detailed procedure to find GCD of 125, 710, 16, 754?

You can find a detailed procedure to find GCD of 125, 710, 16, 754 on our page.

3. How to find GCD of 125, 710, 16, 754 on a calculator?

You can find the GCD of 125, 710, 16, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.