GCD of 180, 210, 890, 724 Calculator

Given Input numbers are 180, 210, 890, 724

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 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (180, 210, 890, 724) = 2.

Given numbers are 180, 210, 890, 724

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 210 are 2 x 3 x 5 x 7

Prime factors of 890 are 2 x 5 x 89

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 180, 210, 890, 724 is 2.

Given numbers are 180, 210, 890, 724

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

Apply this formula for all numbers.

Step1:

LCM(180, 210) = 1260

GCD(180, 210) = ( 180 x 210 ) / 1260

= 180 / 210

= 180

Step2:

LCM(30, 890) = 2670

GCD(30, 890) = ( 30 x 890 ) / 2670

= 30 / 890

= 30

Step3:

LCM(10, 724) = 3620

GCD(10, 724) = ( 10 x 724 ) / 3620

= 10 / 724

= 10

So, Greatest Common Divisor of 180, 210, 890, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 988, 889, 579, 331
• GCD of 234, 369, 649, 977
• GCD of 585, 503, 562, 946
• GCD of 447, 559, 207, 376
• GCD of 828, 395, 107, 781

Given numbers are 180, 210, 890, 724
The greatest common divisor of numbers 180, 210, 890, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 210, 890, 724 is 2.

1. What is the GCD of 180, 210, 890, 724?

GCD of given numbers 180, 210, 890, 724 is 2

2. How to calculate the greatest common divisor of 180, 210, 890, 724?

We can find the highest common divisor of 180, 210, 890, 724 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, 210, 890, 724 i.e 2.

3. How can I use the GCD of 180, 210, 890, 724Calculator?

Out the numbers 180, 210, 890, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.