GCD of 180, 870, 940 Calculator

Given Input numbers are 180, 870, 940

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

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 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 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (180, 870, 940) = 10.

Given numbers are 180, 870, 940

The list of prime factors of all numbers are

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

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

Prime factors of 940 are 2 x 2 x 5 x 47

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 180, 870, 940 is 10.

Given numbers are 180, 870, 940

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

Apply this formula for all numbers.

Step1:

LCM(180, 870) = 5220

GCD(180, 870) = ( 180 x 870 ) / 5220

= 180 / 870

= 180

Step2:

LCM(30, 940) = 2820

GCD(30, 940) = ( 30 x 940 ) / 2820

= 30 / 940

= 30

So, Greatest Common Divisor of 180, 870, 940 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 941, 217
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• GCD of 608, 484, 443
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Given numbers are 180, 870, 940
The greatest common divisor of numbers 180, 870, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 870, 940 is 10.

1. What is the GCD of 180, 870, 940?

GCD of given numbers 180, 870, 940 is 10

2. How to calculate the greatest common divisor of 180, 870, 940?

We can find the highest common divisor of 180, 870, 940 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 180, 870, 940 i.e 10.

3. How can I use the GCD of 180, 870, 940Calculator?

Out the numbers 180, 870, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.