GCD of 794, 992, 978, 490 Calculator

Given Input numbers are 794, 992, 978, 490

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

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 978 :

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

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

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (794, 992, 978, 490) = 2.

Given numbers are 794, 992, 978, 490

The list of prime factors of all numbers are

Prime factors of 794 are 2 x 397

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 978 are 2 x 3 x 163

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 794, 992, 978, 490 is 2.

Given numbers are 794, 992, 978, 490

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

Apply this formula for all numbers.

Step1:

LCM(794, 992) = 393824

GCD(794, 992) = ( 794 x 992 ) / 393824

= 794 / 992

= 794

Step2:

LCM(2, 978) = 978

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

= 2 / 978

= 2

Step3:

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

= 2 / 490

= 2

So, Greatest Common Divisor of 794, 992, 978, 490 is 2

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Given numbers are 794, 992, 978, 490
The greatest common divisor of numbers 794, 992, 978, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 794, 992, 978, 490 is 2.

1. What is the GCD of 794, 992, 978, 490?

GCD of given numbers 794, 992, 978, 490 is 2

2. How to calculate the greatest common divisor of 794, 992, 978, 490?

We can find the highest common divisor of 794, 992, 978, 490 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 794, 992, 978, 490 i.e 2.

3. How can I use the GCD of 794, 992, 978, 490Calculator?

Out the numbers 794, 992, 978, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.