GCD of 506, 775, 797, 989 Calculator

Given Input numbers are 506, 775, 797, 989

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775

Divisors of 797 :

The positive integer divisors of 797 that completely divides 797 are.

1, 797

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (506, 775, 797, 989) = 1.

Given numbers are 506, 775, 797, 989

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 775 are 5 x 5 x 31

Prime factors of 797 are 797

Prime factors of 989 are 23 x 43

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

Given numbers are 506, 775, 797, 989

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

Apply this formula for all numbers.

Step1:

LCM(506, 775) = 392150

GCD(506, 775) = ( 506 x 775 ) / 392150

= 506 / 775

= 506

Step2:

LCM(1, 797) = 797

GCD(1, 797) = ( 1 x 797 ) / 797

= 1 / 797

= 1

Step3:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1

So, Greatest Common Divisor of 506, 775, 797, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 802, 147, 432
• GCD of 693, 240, 543, 553
• GCD of 947, 378, 330, 503
• GCD of 194, 985, 185, 241
• GCD of 313, 630, 969, 105

Given numbers are 506, 775, 797, 989
The greatest common divisor of numbers 506, 775, 797, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 775, 797, 989 is 1.

1. What is the GCD of 506, 775, 797, 989?

GCD of given numbers 506, 775, 797, 989 is 1

2. How to calculate the greatest common divisor of 506, 775, 797, 989?

We can find the highest common divisor of 506, 775, 797, 989 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 506, 775, 797, 989 i.e 1.

3. How can I use the GCD of 506, 775, 797, 989Calculator?

Out the numbers 506, 775, 797, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.