GCD of 250, 100, 300, 676 Calculator

Given Input numbers are 250, 100, 300, 676

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (250, 100, 300, 676) = 2.

Given numbers are 250, 100, 300, 676

The list of prime factors of all numbers are

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

Prime factors of 100 are 2 x 2 x 5 x 5

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

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 250, 100, 300, 676 is 2.

Given numbers are 250, 100, 300, 676

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

Apply this formula for all numbers.

Step1:

LCM(250, 100) = 500

GCD(250, 100) = ( 250 x 100 ) / 500

= 250 / 100

= 250

Step2:

LCM(50, 300) = 300

GCD(50, 300) = ( 50 x 300 ) / 300

= 50 / 300

= 50

Step3:

LCM(50, 676) = 16900

GCD(50, 676) = ( 50 x 676 ) / 16900

= 50 / 676

= 50

So, Greatest Common Divisor of 250, 100, 300, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 459, 152, 985
• GCD of 309, 190, 238, 693
• GCD of 901, 188, 337, 932
• GCD of 677, 387, 248, 334
• GCD of 373, 901, 194, 855

Given numbers are 250, 100, 300, 676
The greatest common divisor of numbers 250, 100, 300, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 250, 100, 300, 676 is 2.

1. What is the GCD of 250, 100, 300, 676?

GCD of given numbers 250, 100, 300, 676 is 2

2. How to calculate the greatest common divisor of 250, 100, 300, 676?

We can find the highest common divisor of 250, 100, 300, 676 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, 100, 300, 676 i.e 2.

3. How can I use the GCD of 250, 100, 300, 676Calculator?

Out the numbers 250, 100, 300, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.