GCD of 357, 336, 217 Calculator

Given Input numbers are 357, 336, 217

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 217 :

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

1, 7, 31, 217

GCD of numbers is the greatest common divisor

So, the GCD (357, 336, 217) = 7.

Given numbers are 357, 336, 217

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 217 are 7 x 31

The highest common occurrence is 7¹

Therefore, GCD of 357, 336, 217 is 7.

Given numbers are 357, 336, 217

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

Apply this formula for all numbers.

Step1:

LCM(357, 336) = 5712

GCD(357, 336) = ( 357 x 336 ) / 5712

= 357 / 336

= 357

Step2:

LCM(21, 217) = 651

GCD(21, 217) = ( 21 x 217 ) / 651

= 21 / 217

= 21

So, Greatest Common Divisor of 357, 336, 217 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 392, 693
• GCD of 623, 956, 957
• GCD of 175, 171, 764
• GCD of 540, 708, 285
• GCD of 678, 213, 682

Given numbers are 357, 336, 217
The greatest common divisor of numbers 357, 336, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 336, 217 is 7.

1. What is the GCD of 357, 336, 217?

GCD of given numbers 357, 336, 217 is 7

2. How to calculate the greatest common divisor of 357, 336, 217?

We can find the highest common divisor of 357, 336, 217 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 357, 336, 217 i.e 7.

3. How can I use the GCD of 357, 336, 217Calculator?

Out the numbers 357, 336, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.