GCD of 45, 712, 374, 978 Calculator

Given Input numbers are 45, 712, 374, 978

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 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 45, 712, 374, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 712, 374, 978 is 1.

Therefore, GCD of numbers 45, 712, 374, 978 is 1

Given Input Data is 45, 712, 374, 978

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 712 is 2 x 2 x 2 x 89

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 978 is 2 x 3 x 163

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, 712) = 32040

GCD(45, 712) = ( 45 x 712 ) / 32040

GCD(45, 712) = 32040 / 32040

GCD(45, 712) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 45, 712, 374, 978 is 1

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1. What is the GCD of 45, 712, 374, 978?

GCD of 45, 712, 374, 978 is 1

2. Where do I get the detailed procedure to find GCD of 45, 712, 374, 978?

You can find a detailed procedure to find GCD of 45, 712, 374, 978 on our page.

3. How to find GCD of 45, 712, 374, 978 on a calculator?

You can find the GCD of 45, 712, 374, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.