GCD of 453, 105, 465, 969 Calculator

Given Input numbers are 453, 105, 465, 969

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

Divisors of 453 :

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

1, 3, 151, 453

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

GCD of numbers is the greatest common divisor

So, the GCD (453, 105, 465, 969) = 3.

Given numbers are 453, 105, 465, 969

The list of prime factors of all numbers are

Prime factors of 453 are 3 x 151

Prime factors of 105 are 3 x 5 x 7

Prime factors of 465 are 3 x 5 x 31

Prime factors of 969 are 3 x 17 x 19

The highest common occurrence is 3¹

Therefore, GCD of 453, 105, 465, 969 is 3.

Given numbers are 453, 105, 465, 969

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

Apply this formula for all numbers.

Step1:

LCM(453, 105) = 15855

GCD(453, 105) = ( 453 x 105 ) / 15855

= 453 / 105

= 453

Step2:

LCM(3, 465) = 465

GCD(3, 465) = ( 3 x 465 ) / 465

= 3 / 465

= 3

Step3:

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

= 3 / 969

= 3

So, Greatest Common Divisor of 453, 105, 465, 969 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 507, 486, 143, 223
• GCD of 742, 948, 453, 233
• GCD of 447, 320, 277, 143
• GCD of 266, 734, 358, 944
• GCD of 436, 511, 754, 152

Given numbers are 453, 105, 465, 969
The greatest common divisor of numbers 453, 105, 465, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 453, 105, 465, 969 is 3.

1. What is the GCD of 453, 105, 465, 969?

GCD of given numbers 453, 105, 465, 969 is 3

2. How to calculate the greatest common divisor of 453, 105, 465, 969?

We can find the highest common divisor of 453, 105, 465, 969 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 453, 105, 465, 969 i.e 3.

3. How can I use the GCD of 453, 105, 465, 969Calculator?

Out the numbers 453, 105, 465, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.