GCD of 494, 462, 226, 952 Calculator

Given Input numbers are 494, 462, 226, 952

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

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 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

GCD of numbers is the greatest common divisor

So, the GCD (494, 462, 226, 952) = 2.

Given numbers are 494, 462, 226, 952

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

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

Prime factors of 226 are 2 x 113

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 494, 462, 226, 952 is 2.

Given numbers are 494, 462, 226, 952

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

Apply this formula for all numbers.

Step1:

LCM(494, 462) = 114114

GCD(494, 462) = ( 494 x 462 ) / 114114

= 494 / 462

= 494

Step2:

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

= 2 / 226

= 2

Step3:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2

So, Greatest Common Divisor of 494, 462, 226, 952 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 854, 126, 761
• GCD of 417, 517, 856, 992
• GCD of 909, 901, 331, 656
• GCD of 314, 516, 478, 724
• GCD of 927, 263, 750, 396

Given numbers are 494, 462, 226, 952
The greatest common divisor of numbers 494, 462, 226, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 462, 226, 952 is 2.

1. What is the GCD of 494, 462, 226, 952?

GCD of given numbers 494, 462, 226, 952 is 2

2. How to calculate the greatest common divisor of 494, 462, 226, 952?

We can find the highest common divisor of 494, 462, 226, 952 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 494, 462, 226, 952 i.e 2.

3. How can I use the GCD of 494, 462, 226, 952Calculator?

Out the numbers 494, 462, 226, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.