GCD of 105, 490, 996, 270 Calculator

Given Input numbers are 105, 490, 996, 270

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

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 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (105, 490, 996, 270) = 1.

Given numbers are 105, 490, 996, 270

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

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

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

Given numbers are 105, 490, 996, 270

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

Apply this formula for all numbers.

Step1:

LCM(105, 490) = 1470

GCD(105, 490) = ( 105 x 490 ) / 1470

= 105 / 490

= 105

Step2:

LCM(35, 996) = 34860

GCD(35, 996) = ( 35 x 996 ) / 34860

= 35 / 996

= 35

Step3:

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

= 1 / 270

= 1

So, Greatest Common Divisor of 105, 490, 996, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 673, 717, 550, 515
• GCD of 516, 979, 896, 543
• GCD of 648, 362, 669, 493
• GCD of 251, 866, 495, 737
• GCD of 633, 802, 917, 508

Given numbers are 105, 490, 996, 270
The greatest common divisor of numbers 105, 490, 996, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 490, 996, 270 is 1.

1. What is the GCD of 105, 490, 996, 270?

GCD of given numbers 105, 490, 996, 270 is 1

2. How to calculate the greatest common divisor of 105, 490, 996, 270?

We can find the highest common divisor of 105, 490, 996, 270 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 105, 490, 996, 270 i.e 1.

3. How can I use the GCD of 105, 490, 996, 270Calculator?

Out the numbers 105, 490, 996, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.