GCD of 462, 110, 838, 478 Calculator

Given Input numbers are 462, 110, 838, 478

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 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

GCD of numbers is the greatest common divisor

So, the GCD (462, 110, 838, 478) = 2.

Given numbers are 462, 110, 838, 478

The list of prime factors of all numbers are

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

Prime factors of 110 are 2 x 5 x 11

Prime factors of 838 are 2 x 419

Prime factors of 478 are 2 x 239

The highest common occurrence is 2¹

Therefore, GCD of 462, 110, 838, 478 is 2.

Given numbers are 462, 110, 838, 478

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

Apply this formula for all numbers.

Step1:

LCM(462, 110) = 2310

GCD(462, 110) = ( 462 x 110 ) / 2310

= 462 / 110

= 462

Step2:

LCM(22, 838) = 9218

GCD(22, 838) = ( 22 x 838 ) / 9218

= 22 / 838

= 22

Step3:

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

= 2 / 478

= 2

So, Greatest Common Divisor of 462, 110, 838, 478 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 285, 823, 209
• GCD of 578, 508, 970, 211
• GCD of 947, 820, 867, 557
• GCD of 225, 362, 639, 958
• GCD of 524, 779, 827, 143

Given numbers are 462, 110, 838, 478
The greatest common divisor of numbers 462, 110, 838, 478 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 110, 838, 478 is 2.

1. What is the GCD of 462, 110, 838, 478?

GCD of given numbers 462, 110, 838, 478 is 2

2. How to calculate the greatest common divisor of 462, 110, 838, 478?

We can find the highest common divisor of 462, 110, 838, 478 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, 110, 838, 478 i.e 2.

3. How can I use the GCD of 462, 110, 838, 478Calculator?

Out the numbers 462, 110, 838, 478 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.