GCD of 123, 981, 264, 474 Calculator

Given Input numbers are 123, 981, 264, 474

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 981 :

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

1, 3, 9, 109, 327, 981

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

GCD of numbers is the greatest common divisor

So, the GCD (123, 981, 264, 474) = 3.

Given numbers are 123, 981, 264, 474

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 981 are 3 x 3 x 109

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 3¹

Therefore, GCD of 123, 981, 264, 474 is 3.

Given numbers are 123, 981, 264, 474

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

Apply this formula for all numbers.

Step1:

LCM(123, 981) = 40221

GCD(123, 981) = ( 123 x 981 ) / 40221

= 123 / 981

= 123

Step2:

LCM(3, 264) = 264

GCD(3, 264) = ( 3 x 264 ) / 264

= 3 / 264

= 3

Step3:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3

So, Greatest Common Divisor of 123, 981, 264, 474 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 407, 189, 560
• GCD of 151, 817, 616, 889
• GCD of 729, 863, 841, 965
• GCD of 430, 475, 749, 897
• GCD of 785, 718, 440, 478

Given numbers are 123, 981, 264, 474
The greatest common divisor of numbers 123, 981, 264, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 981, 264, 474 is 3.

1. What is the GCD of 123, 981, 264, 474?

GCD of given numbers 123, 981, 264, 474 is 3

2. How to calculate the greatest common divisor of 123, 981, 264, 474?

We can find the highest common divisor of 123, 981, 264, 474 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 123, 981, 264, 474 i.e 3.

3. How can I use the GCD of 123, 981, 264, 474Calculator?

Out the numbers 123, 981, 264, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.