GCD of 462, 520, 978 Calculator

Given Input numbers are 462, 520, 978

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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 (462, 520, 978) = 2.

Given numbers are 462, 520, 978

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 978 are 2 x 3 x 163

The highest common occurrence is 2¹

Therefore, GCD of 462, 520, 978 is 2.

Given numbers are 462, 520, 978

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

Apply this formula for all numbers.

Step1:

LCM(462, 520) = 120120

GCD(462, 520) = ( 462 x 520 ) / 120120

= 462 / 520

= 462

Step2:

LCM(2, 978) = 978

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

= 2 / 978

= 2

So, Greatest Common Divisor of 462, 520, 978 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 533, 488, 382
• GCD of 729, 194, 341
• GCD of 738, 332, 196
• GCD of 460, 487, 572
• GCD of 434, 889, 547

Given numbers are 462, 520, 978
The greatest common divisor of numbers 462, 520, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 520, 978 is 2.

1. What is the GCD of 462, 520, 978?

GCD of given numbers 462, 520, 978 is 2

2. How to calculate the greatest common divisor of 462, 520, 978?

We can find the highest common divisor of 462, 520, 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 462, 520, 978 i.e 2.

3. How can I use the GCD of 462, 520, 978Calculator?

Out the numbers 462, 520, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.