GCD of 496, 362, 756, 250 Calculator

Given Input numbers are 496, 362, 756, 250

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250

GCD of numbers is the greatest common divisor

So, the GCD (496, 362, 756, 250) = 2.

Given numbers are 496, 362, 756, 250

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 362 are 2 x 181

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 250 are 2 x 5 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 496, 362, 756, 250 is 2.

Given numbers are 496, 362, 756, 250

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

Apply this formula for all numbers.

Step1:

LCM(496, 362) = 89776

GCD(496, 362) = ( 496 x 362 ) / 89776

= 496 / 362

= 496

Step2:

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

= 2 / 756

= 2

Step3:

LCM(2, 250) = 250

GCD(2, 250) = ( 2 x 250 ) / 250

= 2 / 250

= 2

So, Greatest Common Divisor of 496, 362, 756, 250 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 675, 213, 735
• GCD of 731, 467, 166, 505
• GCD of 633, 182, 253, 289
• GCD of 430, 185, 186, 875
• GCD of 799, 982, 287, 806

Given numbers are 496, 362, 756, 250
The greatest common divisor of numbers 496, 362, 756, 250 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 362, 756, 250 is 2.

1. What is the GCD of 496, 362, 756, 250?

GCD of given numbers 496, 362, 756, 250 is 2

2. How to calculate the greatest common divisor of 496, 362, 756, 250?

We can find the highest common divisor of 496, 362, 756, 250 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 496, 362, 756, 250 i.e 2.

3. How can I use the GCD of 496, 362, 756, 250Calculator?

Out the numbers 496, 362, 756, 250 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.