GCD of 444, 942, 972, 978 Calculator

Given Input numbers are 444, 942, 972, 978

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

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 444, 942, 972, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 942, 972, 978 is 6.

Therefore, GCD of numbers 444, 942, 972, 978 is 6

Given Input Data is 444, 942, 972, 978

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

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 978 is 2 x 3 x 163

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(444, 942) = 69708

GCD(444, 942) = ( 444 x 942 ) / 69708

GCD(444, 942) = 418248 / 69708

GCD(444, 942) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 972

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

LCM(6, 972) = 972

GCD(6, 972) = ( 6 x 972 ) / 972

GCD(6, 972) = 5832 / 972

GCD(6, 972) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 978

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

LCM(6, 978) = 978

GCD(6, 978) = ( 6 x 978 ) / 978

GCD(6, 978) = 5868 / 978

GCD(6, 978) = 6

GCD of 444, 942, 972, 978 is 6

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1. What is the GCD of 444, 942, 972, 978?

GCD of 444, 942, 972, 978 is 6

2. Where do I get the detailed procedure to find GCD of 444, 942, 972, 978?

You can find a detailed procedure to find GCD of 444, 942, 972, 978 on our page.

3. How to find GCD of 444, 942, 972, 978 on a calculator?

You can find the GCD of 444, 942, 972, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.