GCD of 105, 801, 462, 657 Calculator

Given Input numbers are 105, 801, 462, 657

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

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 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

GCD of numbers is the greatest common divisor

So, the GCD (105, 801, 462, 657) = 3.

Given numbers are 105, 801, 462, 657

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 801 are 3 x 3 x 89

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

Prime factors of 657 are 3 x 3 x 73

The highest common occurrence is 3¹

Therefore, GCD of 105, 801, 462, 657 is 3.

Given numbers are 105, 801, 462, 657

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

Apply this formula for all numbers.

Step1:

LCM(105, 801) = 28035

GCD(105, 801) = ( 105 x 801 ) / 28035

= 105 / 801

= 105

Step2:

LCM(3, 462) = 462

GCD(3, 462) = ( 3 x 462 ) / 462

= 3 / 462

= 3

Step3:

LCM(3, 657) = 657

GCD(3, 657) = ( 3 x 657 ) / 657

= 3 / 657

= 3

So, Greatest Common Divisor of 105, 801, 462, 657 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 390, 530, 149, 521
• GCD of 110, 838, 576, 652
• GCD of 713, 995, 857, 750
• GCD of 707, 320, 793, 349
• GCD of 620, 579, 762, 426

Given numbers are 105, 801, 462, 657
The greatest common divisor of numbers 105, 801, 462, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 801, 462, 657 is 3.

1. What is the GCD of 105, 801, 462, 657?

GCD of given numbers 105, 801, 462, 657 is 3

2. How to calculate the greatest common divisor of 105, 801, 462, 657?

We can find the highest common divisor of 105, 801, 462, 657 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 105, 801, 462, 657 i.e 3.

3. How can I use the GCD of 105, 801, 462, 657Calculator?

Out the numbers 105, 801, 462, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.