GCD of 270, 115, 984, 971 Calculator

Given Input numbers are 270, 115, 984, 971

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

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

Divisors of 115 :

The positive integer divisors of 115 that completely divides 115 are.

1, 5, 23, 115

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

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (270, 115, 984, 971) = 1.

Given numbers are 270, 115, 984, 971

The list of prime factors of all numbers are

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

Prime factors of 115 are 5 x 23

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

Prime factors of 971 are 971

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

Given numbers are 270, 115, 984, 971

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

Apply this formula for all numbers.

Step1:

LCM(270, 115) = 6210

GCD(270, 115) = ( 270 x 115 ) / 6210

= 270 / 115

= 270

Step2:

LCM(5, 984) = 4920

GCD(5, 984) = ( 5 x 984 ) / 4920

= 5 / 984

= 5

Step3:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1

So, Greatest Common Divisor of 270, 115, 984, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 211, 752, 528
• GCD of 561, 459, 146, 677
• GCD of 757, 681, 310, 877
• GCD of 724, 528, 945, 416
• GCD of 597, 134, 601, 999

Given numbers are 270, 115, 984, 971
The greatest common divisor of numbers 270, 115, 984, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 115, 984, 971 is 1.

1. What is the GCD of 270, 115, 984, 971?

GCD of given numbers 270, 115, 984, 971 is 1

2. How to calculate the greatest common divisor of 270, 115, 984, 971?

We can find the highest common divisor of 270, 115, 984, 971 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 270, 115, 984, 971 i.e 1.

3. How can I use the GCD of 270, 115, 984, 971Calculator?

Out the numbers 270, 115, 984, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.