GCD of 456, 248, 488, 782 Calculator

Given Input numbers are 456, 248, 488, 782

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

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 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

GCD of numbers is the greatest common divisor

So, the GCD (456, 248, 488, 782) = 2.

Given numbers are 456, 248, 488, 782

The list of prime factors of all numbers are

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

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 782 are 2 x 17 x 23

The highest common occurrence is 2¹

Therefore, GCD of 456, 248, 488, 782 is 2.

Given numbers are 456, 248, 488, 782

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

Apply this formula for all numbers.

Step1:

LCM(456, 248) = 14136

GCD(456, 248) = ( 456 x 248 ) / 14136

= 456 / 248

= 456

Step2:

LCM(8, 488) = 488

GCD(8, 488) = ( 8 x 488 ) / 488

= 8 / 488

= 8

Step3:

LCM(8, 782) = 3128

GCD(8, 782) = ( 8 x 782 ) / 3128

= 8 / 782

= 8

So, Greatest Common Divisor of 456, 248, 488, 782 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 210, 122, 888
• GCD of 493, 805, 705, 476
• GCD of 258, 682, 345, 656
• GCD of 727, 441, 229, 611
• GCD of 191, 443, 120, 779

Given numbers are 456, 248, 488, 782
The greatest common divisor of numbers 456, 248, 488, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 248, 488, 782 is 2.

1. What is the GCD of 456, 248, 488, 782?

GCD of given numbers 456, 248, 488, 782 is 2

2. How to calculate the greatest common divisor of 456, 248, 488, 782?

We can find the highest common divisor of 456, 248, 488, 782 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 456, 248, 488, 782 i.e 2.

3. How can I use the GCD of 456, 248, 488, 782Calculator?

Out the numbers 456, 248, 488, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.