GCD of 494, 456, 88, 464 Calculator

Given Input numbers are 494, 456, 88, 464

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 88 :

The positive integer divisors of 88 that completely divides 88 are.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (494, 456, 88, 464) = 2.

Given numbers are 494, 456, 88, 464

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 88 are 2 x 2 x 2 x 11

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 494, 456, 88, 464 is 2.

Given numbers are 494, 456, 88, 464

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

Apply this formula for all numbers.

Step1:

LCM(494, 456) = 5928

GCD(494, 456) = ( 494 x 456 ) / 5928

= 494 / 456

= 494

Step2:

LCM(38, 88) = 1672

GCD(38, 88) = ( 38 x 88 ) / 1672

= 38 / 88

= 38

Step3:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

So, Greatest Common Divisor of 494, 456, 88, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 509, 24, 680
• GCD of 283, 793, 38, 165
• GCD of 683, 153, 27, 398
• GCD of 879, 897, 76, 191
• GCD of 648, 691, 61, 606

Given numbers are 494, 456, 88, 464
The greatest common divisor of numbers 494, 456, 88, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 456, 88, 464 is 2.

1. What is the GCD of 494, 456, 88, 464?

GCD of given numbers 494, 456, 88, 464 is 2

2. How to calculate the greatest common divisor of 494, 456, 88, 464?

We can find the highest common divisor of 494, 456, 88, 464 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, 456, 88, 464 i.e 2.

3. How can I use the GCD of 494, 456, 88, 464Calculator?

Out the numbers 494, 456, 88, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.