GCD of 270, 982, 698, 618 Calculator

Given Input numbers are 270, 982, 698, 618

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 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

GCD of numbers is the greatest common divisor

So, the GCD (270, 982, 698, 618) = 2.

Given numbers are 270, 982, 698, 618

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 982 are 2 x 491

Prime factors of 698 are 2 x 349

Prime factors of 618 are 2 x 3 x 103

The highest common occurrence is 2¹

Therefore, GCD of 270, 982, 698, 618 is 2.

Given numbers are 270, 982, 698, 618

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

Apply this formula for all numbers.

Step1:

LCM(270, 982) = 132570

GCD(270, 982) = ( 270 x 982 ) / 132570

= 270 / 982

= 270

Step2:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

Step3:

LCM(2, 618) = 618

GCD(2, 618) = ( 2 x 618 ) / 618

= 2 / 618

= 2

So, Greatest Common Divisor of 270, 982, 698, 618 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 414, 970, 572
• GCD of 561, 593, 911, 165
• GCD of 105, 872, 605, 923
• GCD of 318, 197, 297, 784
• GCD of 996, 655, 641, 619

Given numbers are 270, 982, 698, 618
The greatest common divisor of numbers 270, 982, 698, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 982, 698, 618 is 2.

1. What is the GCD of 270, 982, 698, 618?

GCD of given numbers 270, 982, 698, 618 is 2

2. How to calculate the greatest common divisor of 270, 982, 698, 618?

We can find the highest common divisor of 270, 982, 698, 618 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, 982, 698, 618 i.e 2.

3. How can I use the GCD of 270, 982, 698, 618Calculator?

Out the numbers 270, 982, 698, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.