GCD of 490, 785, 30, 720 Calculator

Given Input numbers are 490, 785, 30, 720

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

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 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (490, 785, 30, 720) = 5.

Given numbers are 490, 785, 30, 720

The list of prime factors of all numbers are

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 785 are 5 x 157

Prime factors of 30 are 2 x 3 x 5

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 5¹

Therefore, GCD of 490, 785, 30, 720 is 5.

Given numbers are 490, 785, 30, 720

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

Apply this formula for all numbers.

Step1:

LCM(490, 785) = 76930

GCD(490, 785) = ( 490 x 785 ) / 76930

= 490 / 785

= 490

Step2:

LCM(5, 30) = 30

GCD(5, 30) = ( 5 x 30 ) / 30

= 5 / 30

= 5

Step3:

LCM(5, 720) = 720

GCD(5, 720) = ( 5 x 720 ) / 720

= 5 / 720

= 5

So, Greatest Common Divisor of 490, 785, 30, 720 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 509, 977, 35, 804
• GCD of 344, 783, 12, 393
• GCD of 828, 168, 75, 218
• GCD of 314, 349, 16, 956
• GCD of 938, 343, 99, 395

Given numbers are 490, 785, 30, 720
The greatest common divisor of numbers 490, 785, 30, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 785, 30, 720 is 5.

1. What is the GCD of 490, 785, 30, 720?

GCD of given numbers 490, 785, 30, 720 is 5

2. How to calculate the greatest common divisor of 490, 785, 30, 720?

We can find the highest common divisor of 490, 785, 30, 720 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 490, 785, 30, 720 i.e 5.

3. How can I use the GCD of 490, 785, 30, 720Calculator?

Out the numbers 490, 785, 30, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.