GCD of 747, 840, 939, 513 Calculator

Given Input numbers are 747, 840, 939, 513

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

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 939 :

The positive integer divisors of 939 that completely divides 939 are.

1, 3, 313, 939

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 (747, 840, 939, 513) = 3.

Given numbers are 747, 840, 939, 513

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 939 are 3 x 313

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

The highest common occurrence is 3¹

Therefore, GCD of 747, 840, 939, 513 is 3.

Given numbers are 747, 840, 939, 513

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

Apply this formula for all numbers.

Step1:

LCM(747, 840) = 209160

GCD(747, 840) = ( 747 x 840 ) / 209160

= 747 / 840

= 747

Step2:

LCM(3, 939) = 939

GCD(3, 939) = ( 3 x 939 ) / 939

= 3 / 939

= 3

Step3:

LCM(3, 513) = 513

GCD(3, 513) = ( 3 x 513 ) / 513

= 3 / 513

= 3

So, Greatest Common Divisor of 747, 840, 939, 513 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 343, 878, 567
• GCD of 796, 671, 127, 946
• GCD of 629, 385, 986, 163
• GCD of 855, 833, 226, 833
• GCD of 672, 744, 962, 381

Given numbers are 747, 840, 939, 513
The greatest common divisor of numbers 747, 840, 939, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 840, 939, 513 is 3.

1. What is the GCD of 747, 840, 939, 513?

GCD of given numbers 747, 840, 939, 513 is 3

2. How to calculate the greatest common divisor of 747, 840, 939, 513?

We can find the highest common divisor of 747, 840, 939, 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 747, 840, 939, 513 i.e 3.

3. How can I use the GCD of 747, 840, 939, 513Calculator?

Out the numbers 747, 840, 939, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.