GCD of 820, 706, 708, 562 Calculator

Given Input numbers are 820, 706, 708, 562

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 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

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 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

GCD of numbers is the greatest common divisor

So, the GCD (820, 706, 708, 562) = 2.

Given numbers are 820, 706, 708, 562

The list of prime factors of all numbers are

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

Prime factors of 706 are 2 x 353

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

Prime factors of 562 are 2 x 281

The highest common occurrence is 2¹

Therefore, GCD of 820, 706, 708, 562 is 2.

Given numbers are 820, 706, 708, 562

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

Apply this formula for all numbers.

Step1:

LCM(820, 706) = 289460

GCD(820, 706) = ( 820 x 706 ) / 289460

= 820 / 706

= 820

Step2:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2

Step3:

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

= 2 / 562

= 2

So, Greatest Common Divisor of 820, 706, 708, 562 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 971, 824, 229
• GCD of 888, 315, 964, 338
• GCD of 637, 462, 100, 143
• GCD of 967, 529, 781, 697
• GCD of 738, 846, 496, 940

Given numbers are 820, 706, 708, 562
The greatest common divisor of numbers 820, 706, 708, 562 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 706, 708, 562 is 2.

1. What is the GCD of 820, 706, 708, 562?

GCD of given numbers 820, 706, 708, 562 is 2

2. How to calculate the greatest common divisor of 820, 706, 708, 562?

We can find the highest common divisor of 820, 706, 708, 562 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, 706, 708, 562 i.e 2.

3. How can I use the GCD of 820, 706, 708, 562Calculator?

Out the numbers 820, 706, 708, 562 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.