GCD of 836, 180, 76, 870 Calculator

Given Input numbers are 836, 180, 76, 870

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

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 76 :

The positive integer divisors of 76 that completely divides 76 are.

1, 2, 4, 19, 38, 76

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

GCD of numbers is the greatest common divisor

So, the GCD (836, 180, 76, 870) = 2.

Given numbers are 836, 180, 76, 870

The list of prime factors of all numbers are

Prime factors of 836 are 2 x 2 x 11 x 19

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 76 are 2 x 2 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 836, 180, 76, 870 is 2.

Given numbers are 836, 180, 76, 870

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

Apply this formula for all numbers.

Step1:

LCM(836, 180) = 37620

GCD(836, 180) = ( 836 x 180 ) / 37620

= 836 / 180

= 836

Step2:

LCM(4, 76) = 76

GCD(4, 76) = ( 4 x 76 ) / 76

= 4 / 76

= 4

Step3:

LCM(4, 870) = 1740

GCD(4, 870) = ( 4 x 870 ) / 1740

= 4 / 870

= 4

So, Greatest Common Divisor of 836, 180, 76, 870 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 571, 40, 293
• GCD of 502, 771, 26, 731
• GCD of 118, 260, 93, 135
• GCD of 504, 942, 10, 178
• GCD of 717, 358, 20, 128

Given numbers are 836, 180, 76, 870
The greatest common divisor of numbers 836, 180, 76, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 836, 180, 76, 870 is 2.

1. What is the GCD of 836, 180, 76, 870?

GCD of given numbers 836, 180, 76, 870 is 2

2. How to calculate the greatest common divisor of 836, 180, 76, 870?

We can find the highest common divisor of 836, 180, 76, 870 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 836, 180, 76, 870 i.e 2.

3. How can I use the GCD of 836, 180, 76, 870Calculator?

Out the numbers 836, 180, 76, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.