GCD of 490, 509, 124, 825 Calculator

Given Input numbers are 490, 509, 124, 825

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 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (490, 509, 124, 825) = 1.

Given numbers are 490, 509, 124, 825

The list of prime factors of all numbers are

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

Prime factors of 509 are 509

Prime factors of 124 are 2 x 2 x 31

Prime factors of 825 are 3 x 5 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 490, 509, 124, 825

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

Apply this formula for all numbers.

Step1:

LCM(490, 509) = 249410

GCD(490, 509) = ( 490 x 509 ) / 249410

= 490 / 509

= 490

Step2:

LCM(1, 124) = 124

GCD(1, 124) = ( 1 x 124 ) / 124

= 1 / 124

= 1

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 490, 509, 124, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 666, 518, 109
• GCD of 279, 549, 714, 435
• GCD of 701, 355, 954, 883
• GCD of 954, 510, 490, 203
• GCD of 986, 669, 741, 989

Given numbers are 490, 509, 124, 825
The greatest common divisor of numbers 490, 509, 124, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 509, 124, 825 is 1.

1. What is the GCD of 490, 509, 124, 825?

GCD of given numbers 490, 509, 124, 825 is 1

2. How to calculate the greatest common divisor of 490, 509, 124, 825?

We can find the highest common divisor of 490, 509, 124, 825 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, 509, 124, 825 i.e 1.

3. How can I use the GCD of 490, 509, 124, 825Calculator?

Out the numbers 490, 509, 124, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.