GCD of 250, 982, 508, 772 Calculator

Given Input numbers are 250, 982, 508, 772

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 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (250, 982, 508, 772) = 2.

Given numbers are 250, 982, 508, 772

The list of prime factors of all numbers are

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

Prime factors of 982 are 2 x 491

Prime factors of 508 are 2 x 2 x 127

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 2¹

Therefore, GCD of 250, 982, 508, 772 is 2.

Given numbers are 250, 982, 508, 772

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

Apply this formula for all numbers.

Step1:

LCM(250, 982) = 122750

GCD(250, 982) = ( 250 x 982 ) / 122750

= 250 / 982

= 250

Step2:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

Step3:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2

So, Greatest Common Divisor of 250, 982, 508, 772 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 788, 566, 252
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• GCD of 710, 139, 321, 899

Given numbers are 250, 982, 508, 772
The greatest common divisor of numbers 250, 982, 508, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 250, 982, 508, 772 is 2.

1. What is the GCD of 250, 982, 508, 772?

GCD of given numbers 250, 982, 508, 772 is 2

2. How to calculate the greatest common divisor of 250, 982, 508, 772?

We can find the highest common divisor of 250, 982, 508, 772 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, 982, 508, 772 i.e 2.

3. How can I use the GCD of 250, 982, 508, 772Calculator?

Out the numbers 250, 982, 508, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.