GCD of 917, 616, 315 Calculator

Given Input numbers are 917, 616, 315

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

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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 (917, 616, 315) = 7.

Given numbers are 917, 616, 315

The list of prime factors of all numbers are

Prime factors of 917 are 7 x 131

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

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

The highest common occurrence is 7¹

Therefore, GCD of 917, 616, 315 is 7.

Given numbers are 917, 616, 315

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

Apply this formula for all numbers.

Step1:

LCM(917, 616) = 80696

GCD(917, 616) = ( 917 x 616 ) / 80696

= 917 / 616

= 917

Step2:

LCM(7, 315) = 315

GCD(7, 315) = ( 7 x 315 ) / 315

= 7 / 315

= 7

So, Greatest Common Divisor of 917, 616, 315 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 373, 676
• GCD of 443, 342, 281
• GCD of 714, 280, 226
• GCD of 531, 308, 525
• GCD of 685, 787, 478

Given numbers are 917, 616, 315
The greatest common divisor of numbers 917, 616, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 616, 315 is 7.

1. What is the GCD of 917, 616, 315?

GCD of given numbers 917, 616, 315 is 7

2. How to calculate the greatest common divisor of 917, 616, 315?

We can find the highest common divisor of 917, 616, 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 917, 616, 315 i.e 7.

3. How can I use the GCD of 917, 616, 315Calculator?

Out the numbers 917, 616, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.