GCD of 45, 750, 874, 147 Calculator

Given Input numbers are 45, 750, 874, 147

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 45, 750, 874, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 750, 874, 147 is 1.

Therefore, GCD of numbers 45, 750, 874, 147 is 1

Given Input Data is 45, 750, 874, 147

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 147 is 3 x 7 x 7

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(45, 750) = 2250

GCD(45, 750) = ( 45 x 750 ) / 2250

GCD(45, 750) = 33750 / 2250

GCD(45, 750) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 874

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

LCM(15, 874) = 13110

GCD(15, 874) = ( 15 x 874 ) / 13110

GCD(15, 874) = 13110 / 13110

GCD(15, 874) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 45, 750, 874, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 409, 276, 885
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• GCD of 43, 839, 477, 530
• GCD of 47, 810, 241, 246
• GCD of 69, 264, 757, 219

1. What is the GCD of 45, 750, 874, 147?

GCD of 45, 750, 874, 147 is 1

2. Where do I get the detailed procedure to find GCD of 45, 750, 874, 147?

You can find a detailed procedure to find GCD of 45, 750, 874, 147 on our page.

3. How to find GCD of 45, 750, 874, 147 on a calculator?

You can find the GCD of 45, 750, 874, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.