GCD of 675, 510, 351, 730 Calculator

Given Input numbers are 675, 510, 351, 730

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

GCD of numbers is the greatest common divisor

So, the GCD (675, 510, 351, 730) = 1.

Given numbers are 675, 510, 351, 730

The list of prime factors of all numbers are

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 730 are 2 x 5 x 73

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

Given numbers are 675, 510, 351, 730

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

Apply this formula for all numbers.

Step1:

LCM(675, 510) = 22950

GCD(675, 510) = ( 675 x 510 ) / 22950

= 675 / 510

= 675

Step2:

LCM(15, 351) = 1755

GCD(15, 351) = ( 15 x 351 ) / 1755

= 15 / 351

= 15

Step3:

LCM(3, 730) = 2190

GCD(3, 730) = ( 3 x 730 ) / 2190

= 3 / 730

= 3

So, Greatest Common Divisor of 675, 510, 351, 730 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 360, 105, 690
• GCD of 136, 328, 165, 192
• GCD of 994, 582, 541, 670
• GCD of 670, 952, 834, 954
• GCD of 510, 855, 148, 681

Given numbers are 675, 510, 351, 730
The greatest common divisor of numbers 675, 510, 351, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 510, 351, 730 is 1.

1. What is the GCD of 675, 510, 351, 730?

GCD of given numbers 675, 510, 351, 730 is 1

2. How to calculate the greatest common divisor of 675, 510, 351, 730?

We can find the highest common divisor of 675, 510, 351, 730 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 675, 510, 351, 730 i.e 1.

3. How can I use the GCD of 675, 510, 351, 730Calculator?

Out the numbers 675, 510, 351, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.