GCD of 516, 300, 140, 490 Calculator

Given Input numbers are 516, 300, 140, 490

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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

GCD of numbers is the greatest common divisor

So, the GCD (516, 300, 140, 490) = 2.

Given numbers are 516, 300, 140, 490

The list of prime factors of all numbers are

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 140 are 2 x 2 x 5 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 516, 300, 140, 490 is 2.

Given numbers are 516, 300, 140, 490

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

Apply this formula for all numbers.

Step1:

LCM(516, 300) = 12900

GCD(516, 300) = ( 516 x 300 ) / 12900

= 516 / 300

= 516

Step2:

LCM(12, 140) = 420

GCD(12, 140) = ( 12 x 140 ) / 420

= 12 / 140

= 12

Step3:

LCM(4, 490) = 980

GCD(4, 490) = ( 4 x 490 ) / 980

= 4 / 490

= 4

So, Greatest Common Divisor of 516, 300, 140, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 675, 821, 845
• GCD of 873, 329, 402, 725
• GCD of 797, 969, 263, 399
• GCD of 430, 227, 442, 761
• GCD of 647, 645, 201, 940

Given numbers are 516, 300, 140, 490
The greatest common divisor of numbers 516, 300, 140, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 300, 140, 490 is 2.

1. What is the GCD of 516, 300, 140, 490?

GCD of given numbers 516, 300, 140, 490 is 2

2. How to calculate the greatest common divisor of 516, 300, 140, 490?

We can find the highest common divisor of 516, 300, 140, 490 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 516, 300, 140, 490 i.e 2.

3. How can I use the GCD of 516, 300, 140, 490Calculator?

Out the numbers 516, 300, 140, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.