GCD of 970, 690, 12, 978 Calculator

Given Input numbers are 970, 690, 12, 978

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

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 970, 690, 12, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 690, 12, 978 is 2.

Therefore, GCD of numbers 970, 690, 12, 978 is 2

Given Input Data is 970, 690, 12, 978

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 978 is 2 x 3 x 163

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(970, 690) = 66930

GCD(970, 690) = ( 970 x 690 ) / 66930

GCD(970, 690) = 669300 / 66930

GCD(970, 690) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 12

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

LCM(10, 12) = 60

GCD(10, 12) = ( 10 x 12 ) / 60

GCD(10, 12) = 120 / 60

GCD(10, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 978

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

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

GCD(2, 978) = 1956 / 978

GCD(2, 978) = 2

GCD of 970, 690, 12, 978 is 2

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• GCD of 648, 799, 28, 859
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• GCD of 804, 156, 46, 989

1. What is the GCD of 970, 690, 12, 978?

GCD of 970, 690, 12, 978 is 2

2. Where do I get the detailed procedure to find GCD of 970, 690, 12, 978?

You can find a detailed procedure to find GCD of 970, 690, 12, 978 on our page.

3. How to find GCD of 970, 690, 12, 978 on a calculator?

You can find the GCD of 970, 690, 12, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.