GCD of 978, 304, 942, 378 Calculator

Given Input numbers are 978, 304, 942, 378

In the factoring method, we have to find the divisors of all numbers

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (978, 304, 942, 378) = 2.

Given numbers are 978, 304, 942, 378

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 942 are 2 x 3 x 157

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 978, 304, 942, 378 is 2.

Given numbers are 978, 304, 942, 378

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(978, 304) = 148656

GCD(978, 304) = ( 978 x 304 ) / 148656

= 978 / 304

= 978

Step2:

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

= 2 / 942

= 2

Step3:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2

So, Greatest Common Divisor of 978, 304, 942, 378 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 169, 120, 775
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Given numbers are 978, 304, 942, 378
The greatest common divisor of numbers 978, 304, 942, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 304, 942, 378 is 2.

1. What is the GCD of 978, 304, 942, 378?

GCD of given numbers 978, 304, 942, 378 is 2

2. How to calculate the greatest common divisor of 978, 304, 942, 378?

We can find the highest common divisor of 978, 304, 942, 378 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 978, 304, 942, 378 i.e 2.

3. How can I use the GCD of 978, 304, 942, 378Calculator?

Out the numbers 978, 304, 942, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.