GCD of 442, 758, 978 Calculator

Given Input numbers are 442, 758, 978

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 978 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (442, 758, 978) = 2.

Given numbers are 442, 758, 978

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 758 are 2 x 379

Prime factors of 978 are 2 x 3 x 163

The highest common occurrence is 2¹

Therefore, GCD of 442, 758, 978 is 2.

Given numbers are 442, 758, 978

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

Apply this formula for all numbers.

Step1:

LCM(442, 758) = 167518

GCD(442, 758) = ( 442 x 758 ) / 167518

= 442 / 758

= 442

Step2:

LCM(2, 978) = 978

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

= 2 / 978

= 2

So, Greatest Common Divisor of 442, 758, 978 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 254, 680
• GCD of 624, 519, 670
• GCD of 907, 520, 630
• GCD of 562, 131, 971
• GCD of 740, 348, 555

Given numbers are 442, 758, 978
The greatest common divisor of numbers 442, 758, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 758, 978 is 2.

1. What is the GCD of 442, 758, 978?

GCD of given numbers 442, 758, 978 is 2

2. How to calculate the greatest common divisor of 442, 758, 978?

We can find the highest common divisor of 442, 758, 978 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 442, 758, 978 i.e 2.

3. How can I use the GCD of 442, 758, 978Calculator?

Out the numbers 442, 758, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.