GCD of 491, 524, 713, 749 Calculator

Given Input numbers are 491, 524, 713, 749

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

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (491, 524, 713, 749) = 1.

Given numbers are 491, 524, 713, 749

The list of prime factors of all numbers are

Prime factors of 491 are 491

Prime factors of 524 are 2 x 2 x 131

Prime factors of 713 are 23 x 31

Prime factors of 749 are 7 x 107

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

Given numbers are 491, 524, 713, 749

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

Apply this formula for all numbers.

Step1:

LCM(491, 524) = 257284

GCD(491, 524) = ( 491 x 524 ) / 257284

= 491 / 524

= 491

Step2:

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

= 1 / 713

= 1

Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 491, 524, 713, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 622, 950, 258
• GCD of 105, 391, 702, 872
• GCD of 506, 486, 914, 112
• GCD of 783, 431, 827, 272
• GCD of 612, 980, 656, 725

Given numbers are 491, 524, 713, 749
The greatest common divisor of numbers 491, 524, 713, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 491, 524, 713, 749 is 1.

1. What is the GCD of 491, 524, 713, 749?

GCD of given numbers 491, 524, 713, 749 is 1

2. How to calculate the greatest common divisor of 491, 524, 713, 749?

We can find the highest common divisor of 491, 524, 713, 749 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 491, 524, 713, 749 i.e 1.

3. How can I use the GCD of 491, 524, 713, 749Calculator?

Out the numbers 491, 524, 713, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.