GCD of 820, 870, 364, 776 Calculator

Given Input numbers are 820, 870, 364, 776

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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

GCD of numbers is the greatest common divisor

So, the GCD (820, 870, 364, 776) = 2.

Given numbers are 820, 870, 364, 776

The list of prime factors of all numbers are

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

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 776 are 2 x 2 x 2 x 97

The highest common occurrence is 2¹

Therefore, GCD of 820, 870, 364, 776 is 2.

Given numbers are 820, 870, 364, 776

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

Apply this formula for all numbers.

Step1:

LCM(820, 870) = 71340

GCD(820, 870) = ( 820 x 870 ) / 71340

= 820 / 870

= 820

Step2:

LCM(10, 364) = 1820

GCD(10, 364) = ( 10 x 364 ) / 1820

= 10 / 364

= 10

Step3:

LCM(2, 776) = 776

GCD(2, 776) = ( 2 x 776 ) / 776

= 2 / 776

= 2

So, Greatest Common Divisor of 820, 870, 364, 776 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 464, 478, 758
• GCD of 473, 538, 823, 298
• GCD of 672, 821, 166, 226
• GCD of 866, 926, 868, 842
• GCD of 823, 652, 140, 247

Given numbers are 820, 870, 364, 776
The greatest common divisor of numbers 820, 870, 364, 776 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 870, 364, 776 is 2.

1. What is the GCD of 820, 870, 364, 776?

GCD of given numbers 820, 870, 364, 776 is 2

2. How to calculate the greatest common divisor of 820, 870, 364, 776?

We can find the highest common divisor of 820, 870, 364, 776 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, 870, 364, 776 i.e 2.

3. How can I use the GCD of 820, 870, 364, 776Calculator?

Out the numbers 820, 870, 364, 776 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.