GCD of 820, 480, 206, 700 Calculator

Given Input numbers are 820, 480, 206, 700

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 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (820, 480, 206, 700) = 2.

Given numbers are 820, 480, 206, 700

The list of prime factors of all numbers are

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

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 206 are 2 x 103

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 820, 480, 206, 700 is 2.

Given numbers are 820, 480, 206, 700

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

Apply this formula for all numbers.

Step1:

LCM(820, 480) = 19680

GCD(820, 480) = ( 820 x 480 ) / 19680

= 820 / 480

= 820

Step2:

LCM(20, 206) = 2060

GCD(20, 206) = ( 20 x 206 ) / 2060

= 20 / 206

= 20

Step3:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

So, Greatest Common Divisor of 820, 480, 206, 700 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 273, 906, 908, 378
• GCD of 996, 352, 319, 561
• GCD of 506, 403, 220, 830
• GCD of 484, 454, 554, 721
• GCD of 147, 239, 452, 338

Given numbers are 820, 480, 206, 700
The greatest common divisor of numbers 820, 480, 206, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 480, 206, 700 is 2.

1. What is the GCD of 820, 480, 206, 700?

GCD of given numbers 820, 480, 206, 700 is 2

2. How to calculate the greatest common divisor of 820, 480, 206, 700?

We can find the highest common divisor of 820, 480, 206, 700 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, 480, 206, 700 i.e 2.

3. How can I use the GCD of 820, 480, 206, 700Calculator?

Out the numbers 820, 480, 206, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.