GCD of 610, 720, 290, 296 Calculator

Given Input numbers are 610, 720, 290, 296

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

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

GCD of numbers is the greatest common divisor

So, the GCD (610, 720, 290, 296) = 2.

Given numbers are 610, 720, 290, 296

The list of prime factors of all numbers are

Prime factors of 610 are 2 x 5 x 61

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 290 are 2 x 5 x 29

Prime factors of 296 are 2 x 2 x 2 x 37

The highest common occurrence is 2¹

Therefore, GCD of 610, 720, 290, 296 is 2.

Given numbers are 610, 720, 290, 296

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

Apply this formula for all numbers.

Step1:

LCM(610, 720) = 43920

GCD(610, 720) = ( 610 x 720 ) / 43920

= 610 / 720

= 610

Step2:

LCM(10, 290) = 290

GCD(10, 290) = ( 10 x 290 ) / 290

= 10 / 290

= 10

Step3:

LCM(10, 296) = 1480

GCD(10, 296) = ( 10 x 296 ) / 1480

= 10 / 296

= 10

So, Greatest Common Divisor of 610, 720, 290, 296 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 922, 393, 522, 573
• GCD of 633, 161, 780, 969
• GCD of 470, 381, 960, 770
• GCD of 728, 958, 287, 801
• GCD of 913, 996, 573, 292

Given numbers are 610, 720, 290, 296
The greatest common divisor of numbers 610, 720, 290, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 610, 720, 290, 296 is 2.

1. What is the GCD of 610, 720, 290, 296?

GCD of given numbers 610, 720, 290, 296 is 2

2. How to calculate the greatest common divisor of 610, 720, 290, 296?

We can find the highest common divisor of 610, 720, 290, 296 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 610, 720, 290, 296 i.e 2.

3. How can I use the GCD of 610, 720, 290, 296Calculator?

Out the numbers 610, 720, 290, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.