GCD of 820, 676, 800, 248 Calculator

Given Input numbers are 820, 676, 800, 248

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 676 :

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

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

GCD of numbers is the greatest common divisor

So, the GCD (820, 676, 800, 248) = 4.

Given numbers are 820, 676, 800, 248

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

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

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 248 are 2 x 2 x 2 x 31

The highest common occurrence is 2²

Therefore, GCD of 820, 676, 800, 248 is 4.

Given numbers are 820, 676, 800, 248

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

Apply this formula for all numbers.

Step1:

LCM(820, 676) = 138580

GCD(820, 676) = ( 820 x 676 ) / 138580

= 820 / 676

= 820

Step2:

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

= 4 / 800

= 4

Step3:

LCM(4, 248) = 248

GCD(4, 248) = ( 4 x 248 ) / 248

= 4 / 248

= 4

So, Greatest Common Divisor of 820, 676, 800, 248 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 522, 406, 228
• GCD of 902, 975, 666, 625
• GCD of 640, 918, 360, 367
• GCD of 481, 245, 981, 335
• GCD of 915, 249, 762, 242

Given numbers are 820, 676, 800, 248
The greatest common divisor of numbers 820, 676, 800, 248 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 676, 800, 248 is 4.

1. What is the GCD of 820, 676, 800, 248?

GCD of given numbers 820, 676, 800, 248 is 4

2. How to calculate the greatest common divisor of 820, 676, 800, 248?

We can find the highest common divisor of 820, 676, 800, 248 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 820, 676, 800, 248 i.e 4.

3. How can I use the GCD of 820, 676, 800, 248Calculator?

Out the numbers 820, 676, 800, 248 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.