GCD of 987, 708, 205, 490 Calculator

Given Input numbers are 987, 708, 205, 490

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

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

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

GCD of numbers is the greatest common divisor

So, the GCD (987, 708, 205, 490) = 1.

Given numbers are 987, 708, 205, 490

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 205 are 5 x 41

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

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

Given numbers are 987, 708, 205, 490

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

Apply this formula for all numbers.

Step1:

LCM(987, 708) = 232932

GCD(987, 708) = ( 987 x 708 ) / 232932

= 987 / 708

= 987

Step2:

LCM(3, 205) = 615

GCD(3, 205) = ( 3 x 205 ) / 615

= 3 / 205

= 3

Step3:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1

So, Greatest Common Divisor of 987, 708, 205, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 882, 153, 655
• GCD of 300, 214, 901, 254
• GCD of 289, 869, 985, 495
• GCD of 579, 462, 341, 462
• GCD of 709, 630, 879, 314

Given numbers are 987, 708, 205, 490
The greatest common divisor of numbers 987, 708, 205, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 708, 205, 490 is 1.

1. What is the GCD of 987, 708, 205, 490?

GCD of given numbers 987, 708, 205, 490 is 1

2. How to calculate the greatest common divisor of 987, 708, 205, 490?

We can find the highest common divisor of 987, 708, 205, 490 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 987, 708, 205, 490 i.e 1.

3. How can I use the GCD of 987, 708, 205, 490Calculator?

Out the numbers 987, 708, 205, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.