GCD of 180, 490, 824, 740 Calculator

Given Input numbers are 180, 490, 824, 740

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 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

GCD of numbers is the greatest common divisor

So, the GCD (180, 490, 824, 740) = 2.

Given numbers are 180, 490, 824, 740

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 490 are 2 x 5 x 7 x 7

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 740 are 2 x 2 x 5 x 37

The highest common occurrence is 2¹

Therefore, GCD of 180, 490, 824, 740 is 2.

Given numbers are 180, 490, 824, 740

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

Apply this formula for all numbers.

Step1:

LCM(180, 490) = 8820

GCD(180, 490) = ( 180 x 490 ) / 8820

= 180 / 490

= 180

Step2:

LCM(10, 824) = 4120

GCD(10, 824) = ( 10 x 824 ) / 4120

= 10 / 824

= 10

Step3:

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

= 2 / 740

= 2

So, Greatest Common Divisor of 180, 490, 824, 740 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 296, 667, 676
• GCD of 638, 132, 759, 123
• GCD of 677, 998, 177, 711
• GCD of 895, 362, 244, 868
• GCD of 999, 696, 278, 578

Given numbers are 180, 490, 824, 740
The greatest common divisor of numbers 180, 490, 824, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 490, 824, 740 is 2.

1. What is the GCD of 180, 490, 824, 740?

GCD of given numbers 180, 490, 824, 740 is 2

2. How to calculate the greatest common divisor of 180, 490, 824, 740?

We can find the highest common divisor of 180, 490, 824, 740 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, 490, 824, 740 i.e 2.

3. How can I use the GCD of 180, 490, 824, 740Calculator?

Out the numbers 180, 490, 824, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.