GCD of 240, 250, 826, 314 Calculator

Given Input numbers are 240, 250, 826, 314

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 250 :

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

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

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (240, 250, 826, 314) = 2.

Given numbers are 240, 250, 826, 314

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

Prime factors of 826 are 2 x 7 x 59

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 240, 250, 826, 314 is 2.

Given numbers are 240, 250, 826, 314

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

Apply this formula for all numbers.

Step1:

LCM(240, 250) = 6000

GCD(240, 250) = ( 240 x 250 ) / 6000

= 240 / 250

= 240

Step2:

LCM(10, 826) = 4130

GCD(10, 826) = ( 10 x 826 ) / 4130

= 10 / 826

= 10

Step3:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

So, Greatest Common Divisor of 240, 250, 826, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 947, 684, 862
• GCD of 763, 112, 627, 374
• GCD of 187, 966, 539, 882
• GCD of 480, 502, 630, 922
• GCD of 448, 700, 401, 491

Given numbers are 240, 250, 826, 314
The greatest common divisor of numbers 240, 250, 826, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 250, 826, 314 is 2.

1. What is the GCD of 240, 250, 826, 314?

GCD of given numbers 240, 250, 826, 314 is 2

2. How to calculate the greatest common divisor of 240, 250, 826, 314?

We can find the highest common divisor of 240, 250, 826, 314 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 240, 250, 826, 314 i.e 2.

3. How can I use the GCD of 240, 250, 826, 314Calculator?

Out the numbers 240, 250, 826, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.