GCD of 493, 708, 78, 271 Calculator

Given Input numbers are 493, 708, 78, 271

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

GCD of numbers is the greatest common divisor

So, the GCD (493, 708, 78, 271) = 1.

Given numbers are 493, 708, 78, 271

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 78 are 2 x 3 x 13

Prime factors of 271 are 271

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

Given numbers are 493, 708, 78, 271

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

Apply this formula for all numbers.

Step1:

LCM(493, 708) = 349044

GCD(493, 708) = ( 493 x 708 ) / 349044

= 493 / 708

= 493

Step2:

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

= 1 / 78

= 1

Step3:

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

= 1 / 271

= 1

So, Greatest Common Divisor of 493, 708, 78, 271 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 263, 66, 445
• GCD of 625, 627, 61, 533
• GCD of 736, 850, 85, 614
• GCD of 392, 172, 85, 794
• GCD of 115, 111, 11, 727

Given numbers are 493, 708, 78, 271
The greatest common divisor of numbers 493, 708, 78, 271 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 708, 78, 271 is 1.

1. What is the GCD of 493, 708, 78, 271?

GCD of given numbers 493, 708, 78, 271 is 1

2. How to calculate the greatest common divisor of 493, 708, 78, 271?

We can find the highest common divisor of 493, 708, 78, 271 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 493, 708, 78, 271 i.e 1.

3. How can I use the GCD of 493, 708, 78, 271Calculator?

Out the numbers 493, 708, 78, 271 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.