GCD of 494, 741, 743, 772 Calculator

Given Input numbers are 494, 741, 743, 772

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (494, 741, 743, 772) = 1.

Given numbers are 494, 741, 743, 772

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 741 are 3 x 13 x 19

Prime factors of 743 are 743

Prime factors of 772 are 2 x 2 x 193

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

Given numbers are 494, 741, 743, 772

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

Apply this formula for all numbers.

Step1:

LCM(494, 741) = 1482

GCD(494, 741) = ( 494 x 741 ) / 1482

= 494 / 741

= 494

Step2:

LCM(247, 743) = 183521

GCD(247, 743) = ( 247 x 743 ) / 183521

= 247 / 743

= 247

Step3:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

So, Greatest Common Divisor of 494, 741, 743, 772 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 496, 533, 314
• GCD of 107, 616, 974, 651
• GCD of 100, 653, 766, 513
• GCD of 114, 841, 151, 332
• GCD of 191, 714, 734, 273

Given numbers are 494, 741, 743, 772
The greatest common divisor of numbers 494, 741, 743, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 741, 743, 772 is 1.

1. What is the GCD of 494, 741, 743, 772?

GCD of given numbers 494, 741, 743, 772 is 1

2. How to calculate the greatest common divisor of 494, 741, 743, 772?

We can find the highest common divisor of 494, 741, 743, 772 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 494, 741, 743, 772 i.e 1.

3. How can I use the GCD of 494, 741, 743, 772Calculator?

Out the numbers 494, 741, 743, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.