GCD of 752, 989, 982, 509 Calculator

Given Input numbers are 752, 989, 982, 509

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 989 :

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

1, 23, 43, 989

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (752, 989, 982, 509) = 1.

Given numbers are 752, 989, 982, 509

The list of prime factors of all numbers are

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 989 are 23 x 43

Prime factors of 982 are 2 x 491

Prime factors of 509 are 509

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

Given numbers are 752, 989, 982, 509

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

Apply this formula for all numbers.

Step1:

LCM(752, 989) = 743728

GCD(752, 989) = ( 752 x 989 ) / 743728

= 752 / 989

= 752

Step2:

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

= 1 / 982

= 1

Step3:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1

So, Greatest Common Divisor of 752, 989, 982, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 421, 198, 995, 193
• GCD of 995, 919, 159, 504
• GCD of 186, 728, 465, 479
• GCD of 467, 502, 390, 761
• GCD of 804, 474, 210, 723

Given numbers are 752, 989, 982, 509
The greatest common divisor of numbers 752, 989, 982, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 989, 982, 509 is 1.

1. What is the GCD of 752, 989, 982, 509?

GCD of given numbers 752, 989, 982, 509 is 1

2. How to calculate the greatest common divisor of 752, 989, 982, 509?

We can find the highest common divisor of 752, 989, 982, 509 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 752, 989, 982, 509 i.e 1.

3. How can I use the GCD of 752, 989, 982, 509Calculator?

Out the numbers 752, 989, 982, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.