GCD of 123, 690, 261, 675 Calculator

Given Input numbers are 123, 690, 261, 675

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 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (123, 690, 261, 675) = 3.

Given numbers are 123, 690, 261, 675

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 261 are 3 x 3 x 29

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 123, 690, 261, 675 is 3.

Given numbers are 123, 690, 261, 675

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

Apply this formula for all numbers.

Step1:

LCM(123, 690) = 28290

GCD(123, 690) = ( 123 x 690 ) / 28290

= 123 / 690

= 123

Step2:

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

= 3 / 261

= 3

Step3:

LCM(3, 675) = 675

GCD(3, 675) = ( 3 x 675 ) / 675

= 3 / 675

= 3

So, Greatest Common Divisor of 123, 690, 261, 675 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 324, 247, 870, 106
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• GCD of 252, 828, 137, 891
• GCD of 717, 785, 650, 307
• GCD of 518, 939, 401, 245

Given numbers are 123, 690, 261, 675
The greatest common divisor of numbers 123, 690, 261, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 690, 261, 675 is 3.

1. What is the GCD of 123, 690, 261, 675?

GCD of given numbers 123, 690, 261, 675 is 3

2. How to calculate the greatest common divisor of 123, 690, 261, 675?

We can find the highest common divisor of 123, 690, 261, 675 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, 690, 261, 675 i.e 3.

3. How can I use the GCD of 123, 690, 261, 675Calculator?

Out the numbers 123, 690, 261, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.