GCD of 105, 882, 513, 960 Calculator

Given Input numbers are 105, 882, 513, 960

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 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (105, 882, 513, 960) = 3.

Given numbers are 105, 882, 513, 960

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 105, 882, 513, 960 is 3.

Given numbers are 105, 882, 513, 960

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

Apply this formula for all numbers.

Step1:

LCM(105, 882) = 4410

GCD(105, 882) = ( 105 x 882 ) / 4410

= 105 / 882

= 105

Step2:

LCM(21, 513) = 3591

GCD(21, 513) = ( 21 x 513 ) / 3591

= 21 / 513

= 21

Step3:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

So, Greatest Common Divisor of 105, 882, 513, 960 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 658, 768, 647
• GCD of 932, 555, 223, 280
• GCD of 595, 997, 906, 103
• GCD of 784, 100, 711, 575
• GCD of 911, 891, 669, 341

Given numbers are 105, 882, 513, 960
The greatest common divisor of numbers 105, 882, 513, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 882, 513, 960 is 3.

1. What is the GCD of 105, 882, 513, 960?

GCD of given numbers 105, 882, 513, 960 is 3

2. How to calculate the greatest common divisor of 105, 882, 513, 960?

We can find the highest common divisor of 105, 882, 513, 960 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, 882, 513, 960 i.e 3.

3. How can I use the GCD of 105, 882, 513, 960Calculator?

Out the numbers 105, 882, 513, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.