GCD of 514, 490, 650, 782 Calculator

Given Input numbers are 514, 490, 650, 782

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 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

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 (514, 490, 650, 782) = 2.

Given numbers are 514, 490, 650, 782

The list of prime factors of all numbers are

Prime factors of 514 are 2 x 257

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 782 are 2 x 17 x 23

The highest common occurrence is 2¹

Therefore, GCD of 514, 490, 650, 782 is 2.

Given numbers are 514, 490, 650, 782

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

Apply this formula for all numbers.

Step1:

LCM(514, 490) = 125930

GCD(514, 490) = ( 514 x 490 ) / 125930

= 514 / 490

= 514

Step2:

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

= 2 / 650

= 2

Step3:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

So, Greatest Common Divisor of 514, 490, 650, 782 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 899, 240, 914
• GCD of 655, 474, 377, 343
• GCD of 214, 492, 215, 232
• GCD of 564, 364, 296, 395
• GCD of 800, 248, 436, 493

Given numbers are 514, 490, 650, 782
The greatest common divisor of numbers 514, 490, 650, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 514, 490, 650, 782 is 2.

1. What is the GCD of 514, 490, 650, 782?

GCD of given numbers 514, 490, 650, 782 is 2

2. How to calculate the greatest common divisor of 514, 490, 650, 782?

We can find the highest common divisor of 514, 490, 650, 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 514, 490, 650, 782 i.e 2.

3. How can I use the GCD of 514, 490, 650, 782Calculator?

Out the numbers 514, 490, 650, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.