GCD of 820, 490, 210, 280 Calculator

Given Input numbers are 820, 490, 210, 280

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 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (820, 490, 210, 280) = 10.

Given numbers are 820, 490, 210, 280

The list of prime factors of all numbers are

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

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 820, 490, 210, 280 is 10.

Given numbers are 820, 490, 210, 280

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

Apply this formula for all numbers.

Step1:

LCM(820, 490) = 40180

GCD(820, 490) = ( 820 x 490 ) / 40180

= 820 / 490

= 820

Step2:

LCM(10, 210) = 210

GCD(10, 210) = ( 10 x 210 ) / 210

= 10 / 210

= 10

Step3:

LCM(10, 280) = 280

GCD(10, 280) = ( 10 x 280 ) / 280

= 10 / 280

= 10

So, Greatest Common Divisor of 820, 490, 210, 280 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 796, 322, 968
• GCD of 442, 497, 309, 210
• GCD of 142, 549, 239, 408
• GCD of 322, 880, 365, 966
• GCD of 778, 548, 877, 247

Given numbers are 820, 490, 210, 280
The greatest common divisor of numbers 820, 490, 210, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 490, 210, 280 is 10.

1. What is the GCD of 820, 490, 210, 280?

GCD of given numbers 820, 490, 210, 280 is 10

2. How to calculate the greatest common divisor of 820, 490, 210, 280?

We can find the highest common divisor of 820, 490, 210, 280 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, 490, 210, 280 i.e 10.

3. How can I use the GCD of 820, 490, 210, 280Calculator?

Out the numbers 820, 490, 210, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.