GCD of 752, 289, 612, 315 Calculator

Given Input numbers are 752, 289, 612, 315

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (752, 289, 612, 315) = 1.

Given numbers are 752, 289, 612, 315

The list of prime factors of all numbers are

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 289 are 17 x 17

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 315 are 3 x 3 x 5 x 7

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

Given numbers are 752, 289, 612, 315

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

Apply this formula for all numbers.

Step1:

LCM(752, 289) = 217328

GCD(752, 289) = ( 752 x 289 ) / 217328

= 752 / 289

= 752

Step2:

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

= 1 / 612

= 1

Step3:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1

So, Greatest Common Divisor of 752, 289, 612, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 429, 468, 668
• GCD of 912, 389, 145, 217
• GCD of 802, 751, 779, 328
• GCD of 989, 197, 525, 549
• GCD of 284, 391, 321, 278

Given numbers are 752, 289, 612, 315
The greatest common divisor of numbers 752, 289, 612, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 289, 612, 315 is 1.

1. What is the GCD of 752, 289, 612, 315?

GCD of given numbers 752, 289, 612, 315 is 1

2. How to calculate the greatest common divisor of 752, 289, 612, 315?

We can find the highest common divisor of 752, 289, 612, 315 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 752, 289, 612, 315 i.e 1.

3. How can I use the GCD of 752, 289, 612, 315Calculator?

Out the numbers 752, 289, 612, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.