GCD of 462, 917, 357 Calculator

Given Input numbers are 462, 917, 357

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 917 :

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

1, 7, 131, 917

Divisors of 357 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (462, 917, 357) = 7.

Given numbers are 462, 917, 357

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 917 are 7 x 131

Prime factors of 357 are 3 x 7 x 17

The highest common occurrence is 7¹

Therefore, GCD of 462, 917, 357 is 7.

Given numbers are 462, 917, 357

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

Apply this formula for all numbers.

Step1:

LCM(462, 917) = 60522

GCD(462, 917) = ( 462 x 917 ) / 60522

= 462 / 917

= 462

Step2:

LCM(7, 357) = 357

GCD(7, 357) = ( 7 x 357 ) / 357

= 7 / 357

= 7

So, Greatest Common Divisor of 462, 917, 357 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 357, 511
• GCD of 316, 689, 908
• GCD of 669, 726, 331
• GCD of 608, 238, 994
• GCD of 337, 372, 204

Given numbers are 462, 917, 357
The greatest common divisor of numbers 462, 917, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 917, 357 is 7.

1. What is the GCD of 462, 917, 357?

GCD of given numbers 462, 917, 357 is 7

2. How to calculate the greatest common divisor of 462, 917, 357?

We can find the highest common divisor of 462, 917, 357 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 462, 917, 357 i.e 7.

3. How can I use the GCD of 462, 917, 357Calculator?

Out the numbers 462, 917, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.