GCD of 468, 117, 945, 453 Calculator

Given Input numbers are 468, 117, 945, 453

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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 (468, 117, 945, 453) = 3.

Given numbers are 468, 117, 945, 453

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 117 are 3 x 3 x 13

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 453 are 3 x 151

The highest common occurrence is 3¹

Therefore, GCD of 468, 117, 945, 453 is 3.

Given numbers are 468, 117, 945, 453

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

Apply this formula for all numbers.

Step1:

LCM(468, 117) = 468

GCD(468, 117) = ( 468 x 117 ) / 468

= 468 / 117

= 468

Step2:

LCM(117, 945) = 12285

GCD(117, 945) = ( 117 x 945 ) / 12285

= 117 / 945

= 117

Step3:

LCM(9, 453) = 1359

GCD(9, 453) = ( 9 x 453 ) / 1359

= 9 / 453

= 9

So, Greatest Common Divisor of 468, 117, 945, 453 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 709, 724, 275
• GCD of 308, 708, 257, 768
• GCD of 992, 567, 694, 286
• GCD of 797, 103, 163, 793
• GCD of 806, 245, 730, 760

Given numbers are 468, 117, 945, 453
The greatest common divisor of numbers 468, 117, 945, 453 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 117, 945, 453 is 3.

1. What is the GCD of 468, 117, 945, 453?

GCD of given numbers 468, 117, 945, 453 is 3

2. How to calculate the greatest common divisor of 468, 117, 945, 453?

We can find the highest common divisor of 468, 117, 945, 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 468, 117, 945, 453 i.e 3.

3. How can I use the GCD of 468, 117, 945, 453Calculator?

Out the numbers 468, 117, 945, 453 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.