GCD of 499, 705, 225, 362 Calculator

Given Input numbers are 499, 705, 225, 362

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

Divisors of 499 :

The positive integer divisors of 499 that completely divides 499 are.

1, 499

Divisors of 705 :

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

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

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (499, 705, 225, 362) = 1.

Given numbers are 499, 705, 225, 362

The list of prime factors of all numbers are

Prime factors of 499 are 499

Prime factors of 705 are 3 x 5 x 47

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 362 are 2 x 181

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

Given numbers are 499, 705, 225, 362

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

Apply this formula for all numbers.

Step1:

LCM(499, 705) = 351795

GCD(499, 705) = ( 499 x 705 ) / 351795

= 499 / 705

= 499

Step2:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

Step3:

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

= 1 / 362

= 1

So, Greatest Common Divisor of 499, 705, 225, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 922, 686, 705
• GCD of 947, 104, 488, 846
• GCD of 956, 759, 916, 553
• GCD of 492, 778, 513, 284
• GCD of 591, 849, 641, 361

Given numbers are 499, 705, 225, 362
The greatest common divisor of numbers 499, 705, 225, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 499, 705, 225, 362 is 1.

1. What is the GCD of 499, 705, 225, 362?

GCD of given numbers 499, 705, 225, 362 is 1

2. How to calculate the greatest common divisor of 499, 705, 225, 362?

We can find the highest common divisor of 499, 705, 225, 362 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 499, 705, 225, 362 i.e 1.

3. How can I use the GCD of 499, 705, 225, 362Calculator?

Out the numbers 499, 705, 225, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.