GCD of 252, 288, 716, 705 Calculator

Given Input numbers are 252, 288, 716, 705

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

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 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 705 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (252, 288, 716, 705) = 1.

Given numbers are 252, 288, 716, 705

The list of prime factors of all numbers are

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

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 716 are 2 x 2 x 179

Prime factors of 705 are 3 x 5 x 47

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 252, 288, 716, 705

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

Apply this formula for all numbers.

Step1:

LCM(252, 288) = 2016

GCD(252, 288) = ( 252 x 288 ) / 2016

= 252 / 288

= 252

Step2:

LCM(36, 716) = 6444

GCD(36, 716) = ( 36 x 716 ) / 6444

= 36 / 716

= 36

Step3:

LCM(4, 705) = 2820

GCD(4, 705) = ( 4 x 705 ) / 2820

= 4 / 705

= 4

So, Greatest Common Divisor of 252, 288, 716, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 810, 442, 267
• GCD of 348, 529, 628, 649
• GCD of 588, 235, 557, 958
• GCD of 422, 959, 473, 932
• GCD of 421, 653, 676, 133

Given numbers are 252, 288, 716, 705
The greatest common divisor of numbers 252, 288, 716, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 288, 716, 705 is 1.

1. What is the GCD of 252, 288, 716, 705?

GCD of given numbers 252, 288, 716, 705 is 1

2. How to calculate the greatest common divisor of 252, 288, 716, 705?

We can find the highest common divisor of 252, 288, 716, 705 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 252, 288, 716, 705 i.e 1.

3. How can I use the GCD of 252, 288, 716, 705Calculator?

Out the numbers 252, 288, 716, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.