GCD of 538, 248, 536, 705 Calculator

Given Input numbers are 538, 248, 536, 705

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

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 (538, 248, 536, 705) = 1.

Given numbers are 538, 248, 536, 705

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 536 are 2 x 2 x 2 x 67

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 538, 248, 536, 705

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

Apply this formula for all numbers.

Step1:

LCM(538, 248) = 66712

GCD(538, 248) = ( 538 x 248 ) / 66712

= 538 / 248

= 538

Step2:

LCM(2, 536) = 536

GCD(2, 536) = ( 2 x 536 ) / 536

= 2 / 536

= 2

Step3:

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

= 2 / 705

= 2

So, Greatest Common Divisor of 538, 248, 536, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 217, 491, 660
• GCD of 227, 611, 423, 945
• GCD of 179, 992, 307, 414
• GCD of 308, 920, 846, 967
• GCD of 232, 637, 523, 350

Given numbers are 538, 248, 536, 705
The greatest common divisor of numbers 538, 248, 536, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 248, 536, 705 is 1.

1. What is the GCD of 538, 248, 536, 705?

GCD of given numbers 538, 248, 536, 705 is 1

2. How to calculate the greatest common divisor of 538, 248, 536, 705?

We can find the highest common divisor of 538, 248, 536, 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 538, 248, 536, 705 i.e 1.

3. How can I use the GCD of 538, 248, 536, 705Calculator?

Out the numbers 538, 248, 536, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.