GCD of 705, 252, 366, 441 Calculator

Given Input numbers are 705, 252, 366, 441

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

GCD of numbers is the greatest common divisor

So, the GCD (705, 252, 366, 441) = 3.

Given numbers are 705, 252, 366, 441

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 366 are 2 x 3 x 61

Prime factors of 441 are 3 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 705, 252, 366, 441 is 3.

Given numbers are 705, 252, 366, 441

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

Apply this formula for all numbers.

Step1:

LCM(705, 252) = 59220

GCD(705, 252) = ( 705 x 252 ) / 59220

= 705 / 252

= 705

Step2:

LCM(3, 366) = 366

GCD(3, 366) = ( 3 x 366 ) / 366

= 3 / 366

= 3

Step3:

LCM(3, 441) = 441

GCD(3, 441) = ( 3 x 441 ) / 441

= 3 / 441

= 3

So, Greatest Common Divisor of 705, 252, 366, 441 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 548, 672, 430
• GCD of 962, 544, 168, 317
• GCD of 130, 542, 947, 281
• GCD of 193, 276, 744, 156
• GCD of 547, 187, 260, 913

Given numbers are 705, 252, 366, 441
The greatest common divisor of numbers 705, 252, 366, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 252, 366, 441 is 3.

1. What is the GCD of 705, 252, 366, 441?

GCD of given numbers 705, 252, 366, 441 is 3

2. How to calculate the greatest common divisor of 705, 252, 366, 441?

We can find the highest common divisor of 705, 252, 366, 441 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 705, 252, 366, 441 i.e 3.

3. How can I use the GCD of 705, 252, 366, 441Calculator?

Out the numbers 705, 252, 366, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.