GCD of 496, 628, 350, 928 Calculator

Given Input numbers are 496, 628, 350, 928

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 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

GCD of numbers is the greatest common divisor

So, the GCD (496, 628, 350, 928) = 2.

Given numbers are 496, 628, 350, 928

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 628 are 2 x 2 x 157

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 496, 628, 350, 928 is 2.

Given numbers are 496, 628, 350, 928

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

Apply this formula for all numbers.

Step1:

LCM(496, 628) = 77872

GCD(496, 628) = ( 496 x 628 ) / 77872

= 496 / 628

= 496

Step2:

LCM(4, 350) = 700

GCD(4, 350) = ( 4 x 350 ) / 700

= 4 / 350

= 4

Step3:

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

= 2 / 928

= 2

So, Greatest Common Divisor of 496, 628, 350, 928 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 561, 293, 773
• GCD of 546, 768, 555, 512
• GCD of 997, 311, 314, 652
• GCD of 791, 319, 902, 813
• GCD of 736, 838, 416, 310

Given numbers are 496, 628, 350, 928
The greatest common divisor of numbers 496, 628, 350, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 628, 350, 928 is 2.

1. What is the GCD of 496, 628, 350, 928?

GCD of given numbers 496, 628, 350, 928 is 2

2. How to calculate the greatest common divisor of 496, 628, 350, 928?

We can find the highest common divisor of 496, 628, 350, 928 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, 628, 350, 928 i.e 2.

3. How can I use the GCD of 496, 628, 350, 928Calculator?

Out the numbers 496, 628, 350, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.