GCD of 378, 978, 262, 694 Calculator

Given Input numbers are 378, 978, 262, 694

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 978

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

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

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 378, 978, 262, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 978, 262, 694 is 2.

Therefore, GCD of numbers 378, 978, 262, 694 is 2

Given Input Data is 378, 978, 262, 694

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 262 is 2 x 131

Prime Factorization of 694 is 2 x 347

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(378, 978) = 61614

GCD(378, 978) = ( 378 x 978 ) / 61614

GCD(378, 978) = 369684 / 61614

GCD(378, 978) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 262

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

LCM(6, 262) = 786

GCD(6, 262) = ( 6 x 262 ) / 786

GCD(6, 262) = 1572 / 786

GCD(6, 262) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 694

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

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

GCD(2, 694) = 1388 / 694

GCD(2, 694) = 2

GCD of 378, 978, 262, 694 is 2

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1. What is the GCD of 378, 978, 262, 694?

GCD of 378, 978, 262, 694 is 2

2. Where do I get the detailed procedure to find GCD of 378, 978, 262, 694?

You can find a detailed procedure to find GCD of 378, 978, 262, 694 on our page.

3. How to find GCD of 378, 978, 262, 694 on a calculator?

You can find the GCD of 378, 978, 262, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.