GCD of 734, 540, 989, 728 Calculator

Given Input numbers are 734, 540, 989, 728

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 989 :

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

1, 23, 43, 989

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (734, 540, 989, 728) = 1.

Given numbers are 734, 540, 989, 728

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 989 are 23 x 43

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Given numbers are 734, 540, 989, 728

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

Apply this formula for all numbers.

Step1:

LCM(734, 540) = 198180

GCD(734, 540) = ( 734 x 540 ) / 198180

= 734 / 540

= 734

Step2:

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

= 2 / 989

= 2

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 734, 540, 989, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 776, 343, 507
• GCD of 513, 224, 804, 724
• GCD of 793, 633, 540, 843
• GCD of 787, 442, 307, 485
• GCD of 499, 296, 582, 584

Given numbers are 734, 540, 989, 728
The greatest common divisor of numbers 734, 540, 989, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 540, 989, 728 is 1.

1. What is the GCD of 734, 540, 989, 728?

GCD of given numbers 734, 540, 989, 728 is 1

2. How to calculate the greatest common divisor of 734, 540, 989, 728?

We can find the highest common divisor of 734, 540, 989, 728 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 734, 540, 989, 728 i.e 1.

3. How can I use the GCD of 734, 540, 989, 728Calculator?

Out the numbers 734, 540, 989, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.