GCD of 708, 102, 490, 820 Calculator

Given Input numbers are 708, 102, 490, 820

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

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 820 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (708, 102, 490, 820) = 2.

Given numbers are 708, 102, 490, 820

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 102 are 2 x 3 x 17

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

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

The highest common occurrence is 2¹

Therefore, GCD of 708, 102, 490, 820 is 2.

Given numbers are 708, 102, 490, 820

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

Apply this formula for all numbers.

Step1:

LCM(708, 102) = 12036

GCD(708, 102) = ( 708 x 102 ) / 12036

= 708 / 102

= 708

Step2:

LCM(6, 490) = 1470

GCD(6, 490) = ( 6 x 490 ) / 1470

= 6 / 490

= 6

Step3:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

So, Greatest Common Divisor of 708, 102, 490, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 362, 975, 343
• GCD of 559, 370, 171, 682
• GCD of 277, 889, 334, 404
• GCD of 508, 158, 236, 847
• GCD of 788, 558, 100, 488

Given numbers are 708, 102, 490, 820
The greatest common divisor of numbers 708, 102, 490, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 102, 490, 820 is 2.

1. What is the GCD of 708, 102, 490, 820?

GCD of given numbers 708, 102, 490, 820 is 2

2. How to calculate the greatest common divisor of 708, 102, 490, 820?

We can find the highest common divisor of 708, 102, 490, 820 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 708, 102, 490, 820 i.e 2.

3. How can I use the GCD of 708, 102, 490, 820Calculator?

Out the numbers 708, 102, 490, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.