GCD of 168, 978, 104, 704 Calculator

Given Input numbers are 168, 978, 104, 704

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 978 :

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

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (168, 978, 104, 704) = 2.

Given numbers are 168, 978, 104, 704

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 978 are 2 x 3 x 163

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 168, 978, 104, 704 is 2.

Given numbers are 168, 978, 104, 704

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

Apply this formula for all numbers.

Step1:

LCM(168, 978) = 27384

GCD(168, 978) = ( 168 x 978 ) / 27384

= 168 / 978

= 168

Step2:

LCM(6, 104) = 312

GCD(6, 104) = ( 6 x 104 ) / 312

= 6 / 104

= 6

Step3:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

So, Greatest Common Divisor of 168, 978, 104, 704 is 2

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• GCD of 902, 706, 898, 286
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Given numbers are 168, 978, 104, 704
The greatest common divisor of numbers 168, 978, 104, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 978, 104, 704 is 2.

1. What is the GCD of 168, 978, 104, 704?

GCD of given numbers 168, 978, 104, 704 is 2

2. How to calculate the greatest common divisor of 168, 978, 104, 704?

We can find the highest common divisor of 168, 978, 104, 704 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 168, 978, 104, 704 i.e 2.

3. How can I use the GCD of 168, 978, 104, 704Calculator?

Out the numbers 168, 978, 104, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.