GCD of 749, 460, 48, 318 Calculator

Given Input numbers are 749, 460, 48, 318

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (749, 460, 48, 318) = 1.

Given numbers are 749, 460, 48, 318

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 318 are 2 x 3 x 53

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

Given numbers are 749, 460, 48, 318

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

Apply this formula for all numbers.

Step1:

LCM(749, 460) = 344540

GCD(749, 460) = ( 749 x 460 ) / 344540

= 749 / 460

= 749

Step2:

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

= 1 / 48

= 1

Step3:

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

= 1 / 318

= 1

So, Greatest Common Divisor of 749, 460, 48, 318 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 997, 99, 379
• GCD of 391, 181, 18, 580
• GCD of 314, 149, 26, 379
• GCD of 253, 135, 83, 355
• GCD of 958, 508, 12, 176

Given numbers are 749, 460, 48, 318
The greatest common divisor of numbers 749, 460, 48, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 460, 48, 318 is 1.

1. What is the GCD of 749, 460, 48, 318?

GCD of given numbers 749, 460, 48, 318 is 1

2. How to calculate the greatest common divisor of 749, 460, 48, 318?

We can find the highest common divisor of 749, 460, 48, 318 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 749, 460, 48, 318 i.e 1.

3. How can I use the GCD of 749, 460, 48, 318Calculator?

Out the numbers 749, 460, 48, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.