GCD of 250, 490, 310, 616 Calculator

Given Input numbers are 250, 490, 310, 616

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

Divisors of 250 :

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

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

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 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

GCD of numbers is the greatest common divisor

So, the GCD (250, 490, 310, 616) = 2.

Given numbers are 250, 490, 310, 616

The list of prime factors of all numbers are

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

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

Prime factors of 310 are 2 x 5 x 31

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 250, 490, 310, 616 is 2.

Given numbers are 250, 490, 310, 616

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

Apply this formula for all numbers.

Step1:

LCM(250, 490) = 12250

GCD(250, 490) = ( 250 x 490 ) / 12250

= 250 / 490

= 250

Step2:

LCM(10, 310) = 310

GCD(10, 310) = ( 10 x 310 ) / 310

= 10 / 310

= 10

Step3:

LCM(10, 616) = 3080

GCD(10, 616) = ( 10 x 616 ) / 3080

= 10 / 616

= 10

So, Greatest Common Divisor of 250, 490, 310, 616 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 388, 770, 810
• GCD of 198, 590, 610, 148
• GCD of 281, 771, 519, 768
• GCD of 159, 857, 309, 962
• GCD of 971, 984, 199, 324

Given numbers are 250, 490, 310, 616
The greatest common divisor of numbers 250, 490, 310, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 250, 490, 310, 616 is 2.

1. What is the GCD of 250, 490, 310, 616?

GCD of given numbers 250, 490, 310, 616 is 2

2. How to calculate the greatest common divisor of 250, 490, 310, 616?

We can find the highest common divisor of 250, 490, 310, 616 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 250, 490, 310, 616 i.e 2.

3. How can I use the GCD of 250, 490, 310, 616Calculator?

Out the numbers 250, 490, 310, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.