GCD of 470, 918, 755, 749 Calculator

Given Input numbers are 470, 918, 755, 749

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 749 :

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

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (470, 918, 755, 749) = 1.

Given numbers are 470, 918, 755, 749

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 755 are 5 x 151

Prime factors of 749 are 7 x 107

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

Given numbers are 470, 918, 755, 749

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

Apply this formula for all numbers.

Step1:

LCM(470, 918) = 215730

GCD(470, 918) = ( 470 x 918 ) / 215730

= 470 / 918

= 470

Step2:

LCM(2, 755) = 1510

GCD(2, 755) = ( 2 x 755 ) / 1510

= 2 / 755

= 2

Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 470, 918, 755, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 485, 333, 557
• GCD of 762, 493, 153, 777
• GCD of 947, 584, 728, 565
• GCD of 678, 639, 440, 897
• GCD of 253, 591, 317, 366

Given numbers are 470, 918, 755, 749
The greatest common divisor of numbers 470, 918, 755, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 918, 755, 749 is 1.

1. What is the GCD of 470, 918, 755, 749?

GCD of given numbers 470, 918, 755, 749 is 1

2. How to calculate the greatest common divisor of 470, 918, 755, 749?

We can find the highest common divisor of 470, 918, 755, 749 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 470, 918, 755, 749 i.e 1.

3. How can I use the GCD of 470, 918, 755, 749Calculator?

Out the numbers 470, 918, 755, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.