GCD of 261, 510, 690, 453 Calculator

Given Input numbers are 261, 510, 690, 453

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

Divisors of 261 :

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

1, 3, 9, 29, 87, 261

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

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 453 :

The positive integer divisors of 453 that completely divides 453 are.

1, 3, 151, 453

GCD of numbers is the greatest common divisor

So, the GCD (261, 510, 690, 453) = 3.

Given numbers are 261, 510, 690, 453

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 510 are 2 x 3 x 5 x 17

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

Prime factors of 453 are 3 x 151

The highest common occurrence is 3¹

Therefore, GCD of 261, 510, 690, 453 is 3.

Given numbers are 261, 510, 690, 453

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

Apply this formula for all numbers.

Step1:

LCM(261, 510) = 44370

GCD(261, 510) = ( 261 x 510 ) / 44370

= 261 / 510

= 261

Step2:

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

= 3 / 690

= 3

Step3:

LCM(3, 453) = 453

GCD(3, 453) = ( 3 x 453 ) / 453

= 3 / 453

= 3

So, Greatest Common Divisor of 261, 510, 690, 453 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 179, 542, 248
• GCD of 857, 368, 631, 716
• GCD of 922, 417, 449, 294
• GCD of 687, 459, 205, 582
• GCD of 720, 951, 100, 154

Given numbers are 261, 510, 690, 453
The greatest common divisor of numbers 261, 510, 690, 453 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 510, 690, 453 is 3.

1. What is the GCD of 261, 510, 690, 453?

GCD of given numbers 261, 510, 690, 453 is 3

2. How to calculate the greatest common divisor of 261, 510, 690, 453?

We can find the highest common divisor of 261, 510, 690, 453 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 261, 510, 690, 453 i.e 3.

3. How can I use the GCD of 261, 510, 690, 453Calculator?

Out the numbers 261, 510, 690, 453 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.