GCD of 981, 900, 384, 618 Calculator

Given Input numbers are 981, 900, 384, 618

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

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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 (981, 900, 384, 618) = 3.

Given numbers are 981, 900, 384, 618

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 618 are 2 x 3 x 103

The highest common occurrence is 3¹

Therefore, GCD of 981, 900, 384, 618 is 3.

Given numbers are 981, 900, 384, 618

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

Apply this formula for all numbers.

Step1:

LCM(981, 900) = 98100

GCD(981, 900) = ( 981 x 900 ) / 98100

= 981 / 900

= 981

Step2:

LCM(9, 384) = 1152

GCD(9, 384) = ( 9 x 384 ) / 1152

= 9 / 384

= 9

Step3:

LCM(3, 618) = 618

GCD(3, 618) = ( 3 x 618 ) / 618

= 3 / 618

= 3

So, Greatest Common Divisor of 981, 900, 384, 618 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 718, 890, 131
• GCD of 267, 144, 183, 619
• GCD of 101, 266, 698, 789
• GCD of 116, 241, 788, 568
• GCD of 163, 158, 648, 396

Given numbers are 981, 900, 384, 618
The greatest common divisor of numbers 981, 900, 384, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 900, 384, 618 is 3.

1. What is the GCD of 981, 900, 384, 618?

GCD of given numbers 981, 900, 384, 618 is 3

2. How to calculate the greatest common divisor of 981, 900, 384, 618?

We can find the highest common divisor of 981, 900, 384, 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 981, 900, 384, 618 i.e 3.

3. How can I use the GCD of 981, 900, 384, 618Calculator?

Out the numbers 981, 900, 384, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.