GCD of 742, 864, 513, 940 Calculator

Given Input numbers are 742, 864, 513, 940

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 513 :

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

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

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (742, 864, 513, 940) = 1.

Given numbers are 742, 864, 513, 940

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 940 are 2 x 2 x 5 x 47

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

Given numbers are 742, 864, 513, 940

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

Apply this formula for all numbers.

Step1:

LCM(742, 864) = 320544

GCD(742, 864) = ( 742 x 864 ) / 320544

= 742 / 864

= 742

Step2:

LCM(2, 513) = 1026

GCD(2, 513) = ( 2 x 513 ) / 1026

= 2 / 513

= 2

Step3:

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

= 1 / 940

= 1

So, Greatest Common Divisor of 742, 864, 513, 940 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 257, 517, 877
• GCD of 996, 929, 382, 131
• GCD of 365, 527, 633, 148
• GCD of 710, 559, 401, 966
• GCD of 508, 486, 451, 558

Given numbers are 742, 864, 513, 940
The greatest common divisor of numbers 742, 864, 513, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 864, 513, 940 is 1.

1. What is the GCD of 742, 864, 513, 940?

GCD of given numbers 742, 864, 513, 940 is 1

2. How to calculate the greatest common divisor of 742, 864, 513, 940?

We can find the highest common divisor of 742, 864, 513, 940 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 742, 864, 513, 940 i.e 1.

3. How can I use the GCD of 742, 864, 513, 940Calculator?

Out the numbers 742, 864, 513, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.