GCD of 514, 280, 48 Calculator

Given Input numbers are 514, 280, 48

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

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

GCD of numbers is the greatest common divisor

So, the GCD (514, 280, 48) = 2.

Given numbers are 514, 280, 48

The list of prime factors of all numbers are

Prime factors of 514 are 2 x 257

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 514, 280, 48 is 2.

Given numbers are 514, 280, 48

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

Apply this formula for all numbers.

Step1:

LCM(514, 280) = 71960

GCD(514, 280) = ( 514 x 280 ) / 71960

= 514 / 280

= 514

Step2:

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

= 2 / 48

= 2

So, Greatest Common Divisor of 514, 280, 48 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 830, 55
• GCD of 781, 697, 72
• GCD of 931, 859, 68
• GCD of 795, 307, 63
• GCD of 473, 891, 39

Given numbers are 514, 280, 48
The greatest common divisor of numbers 514, 280, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 514, 280, 48 is 2.

1. What is the GCD of 514, 280, 48?

GCD of given numbers 514, 280, 48 is 2

2. How to calculate the greatest common divisor of 514, 280, 48?

We can find the highest common divisor of 514, 280, 48 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 514, 280, 48 i.e 2.

3. How can I use the GCD of 514, 280, 48Calculator?

Out the numbers 514, 280, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.