GCD of 740, 364, 689, 513 Calculator

Given Input numbers are 740, 364, 689, 513

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

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

GCD of numbers is the greatest common divisor

So, the GCD (740, 364, 689, 513) = 1.

Given numbers are 740, 364, 689, 513

The list of prime factors of all numbers are

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 689 are 13 x 53

Prime factors of 513 are 3 x 3 x 3 x 19

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

Given numbers are 740, 364, 689, 513

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

Apply this formula for all numbers.

Step1:

LCM(740, 364) = 67340

GCD(740, 364) = ( 740 x 364 ) / 67340

= 740 / 364

= 740

Step2:

LCM(4, 689) = 2756

GCD(4, 689) = ( 4 x 689 ) / 2756

= 4 / 689

= 4

Step3:

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

= 1 / 513

= 1

So, Greatest Common Divisor of 740, 364, 689, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 447, 287, 471
• GCD of 301, 161, 729, 228
• GCD of 733, 993, 170, 840
• GCD of 927, 966, 951, 645
• GCD of 597, 486, 998, 189

Given numbers are 740, 364, 689, 513
The greatest common divisor of numbers 740, 364, 689, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 364, 689, 513 is 1.

1. What is the GCD of 740, 364, 689, 513?

GCD of given numbers 740, 364, 689, 513 is 1

2. How to calculate the greatest common divisor of 740, 364, 689, 513?

We can find the highest common divisor of 740, 364, 689, 513 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 740, 364, 689, 513 i.e 1.

3. How can I use the GCD of 740, 364, 689, 513Calculator?

Out the numbers 740, 364, 689, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.