GCD of 315, 217, 350 Calculator

Given Input numbers are 315, 217, 350

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

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (315, 217, 350) = 7.

Given numbers are 315, 217, 350

The list of prime factors of all numbers are

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

Prime factors of 217 are 7 x 31

Prime factors of 350 are 2 x 5 x 5 x 7

The highest common occurrence is 7¹

Therefore, GCD of 315, 217, 350 is 7.

Given numbers are 315, 217, 350

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

Apply this formula for all numbers.

Step1:

LCM(315, 217) = 9765

GCD(315, 217) = ( 315 x 217 ) / 9765

= 315 / 217

= 315

Step2:

LCM(7, 350) = 350

GCD(7, 350) = ( 7 x 350 ) / 350

= 7 / 350

= 7

So, Greatest Common Divisor of 315, 217, 350 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 679, 498
• GCD of 786, 683, 321
• GCD of 152, 683, 378
• GCD of 677, 157, 780
• GCD of 131, 934, 868

Given numbers are 315, 217, 350
The greatest common divisor of numbers 315, 217, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 217, 350 is 7.

1. What is the GCD of 315, 217, 350?

GCD of given numbers 315, 217, 350 is 7

2. How to calculate the greatest common divisor of 315, 217, 350?

We can find the highest common divisor of 315, 217, 350 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 315, 217, 350 i.e 7.

3. How can I use the GCD of 315, 217, 350Calculator?

Out the numbers 315, 217, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.