GCD of 210, 490, 217, 984 Calculator

Given Input numbers are 210, 490, 217, 984

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

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 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 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (210, 490, 217, 984) = 1.

Given numbers are 210, 490, 217, 984

The list of prime factors of all numbers are

Prime factors of 210 are 2 x 3 x 5 x 7

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

Prime factors of 217 are 7 x 31

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

Given numbers are 210, 490, 217, 984

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

Apply this formula for all numbers.

Step1:

LCM(210, 490) = 1470

GCD(210, 490) = ( 210 x 490 ) / 1470

= 210 / 490

= 210

Step2:

LCM(70, 217) = 2170

GCD(70, 217) = ( 70 x 217 ) / 2170

= 70 / 217

= 70

Step3:

LCM(7, 984) = 6888

GCD(7, 984) = ( 7 x 984 ) / 6888

= 7 / 984

= 7

So, Greatest Common Divisor of 210, 490, 217, 984 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 978, 655, 799
• GCD of 230, 793, 574, 970
• GCD of 968, 965, 127, 189
• GCD of 759, 269, 221, 561
• GCD of 705, 724, 969, 633

Given numbers are 210, 490, 217, 984
The greatest common divisor of numbers 210, 490, 217, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 490, 217, 984 is 1.

1. What is the GCD of 210, 490, 217, 984?

GCD of given numbers 210, 490, 217, 984 is 1

2. How to calculate the greatest common divisor of 210, 490, 217, 984?

We can find the highest common divisor of 210, 490, 217, 984 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 210, 490, 217, 984 i.e 1.

3. How can I use the GCD of 210, 490, 217, 984Calculator?

Out the numbers 210, 490, 217, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.